At a firefighters' pancake breakfast, the firefighters served 345 people and raised $1395. As adult's ticket to the pancake breakfast was $5 and the cost of a child's ticket was $3. What was the number of child and adult tickets sold?

Answers

Answer 1

Answer:

Number of adult tickets = 180

Number of child tickets = 165

Step-by-step explanation:

Given:

Total number of ticket = 345

Total amount = $1,395

Cost of adult ticket = $5

Cost of child ticket = $3

Find:

Number of child and adult tickets

Computation:

Assume;

Number of child tickets = a

Number of adult tickets = b

So,

a + b = 345...........eq 1

3a + 5b = 1,395...........eq2

3 x in eq 1

3a + 3b = 1,035.........eq3

eq2 - eq3

2b = 360

b = 180

Number of adult tickets = 180

a + b = 345

a = 165

Number of child tickets = 165


Related Questions

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?

Answers

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Answer:

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Step-by-step explanation:

Given,

Per day charge of each associate = $800

Per day charge of each partner = $1300

Total charged per day = $12300

Let,

x be the number of associates

y be the number of partners

According to given statement;

800x+1300y=12300        Eqn 1

y = x+3              Eqn 2

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Keywords: linear equation, addition

Step-by-step explanation:

Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.​

Answers

f(x)=(x+4)2−13 i think this is the simplified of the perfect trinomial

Two Step Equation
-26 = -15x + 8

Answers

Answer:

x = 2 [tex]\frac{4}{15}[/tex]

Step-by-step explanation:

-26 = -15x + 8

-34 = -15x

x = 2 [tex]\frac{4}{15}[/tex]

Answer:

34/15

Step-by-step explanation:

(- 26) - 8= -15x

-34=-15x

-34/-15=x

34/15=x

6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2

Answers

Plug in x-2 for y
x + x - 2 = -10
2x = 12, x = 6
The value of x is 6

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

The length of a piece of yarn is 19.2 units. Jesse cut the piece of yarn into 4 smaller pieces that were all the same length. Which expression represents the length of each smaller piece of yarn?

Answers

Answer:

Step-by-step explanation:

Let y = each smaller piece

y = 19.2 / 4

=========

y = 4.8

Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.M. With a plan to have a picnic when they meet. Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour. After one hour, how far apart will they be?

Answers

Answer:

They would be 44.6 miles apart

Step-by-step explanation:

Here, we want to calculate how far they will be in 1 hour

Mathematically;

Distance = speed * time

In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles

While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles

Now, we want to calculate how far apart they would be

On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end

On the 24 miles Claire would be at a distance of 20.6 miles

So how far apart they would be is

24 miles + 20.6 miles = 44.6 miles

Which expression has a value of 50 after simplifying?

A.
(24 + 48) ÷ 4 + 2

B.
8 + (15 – 4) x 4 – 10 ÷ 5

C.
36 – 24 ÷ 6 + 24

D.
(8 + 12) – 6 + 9

Answers

The answer is B
8+11 x 4 -10/5
8+ 44-10/5
8+ 44 -2
52-2
50

Answer:

B number is right.

8 + (15 – 4) x 4 – 10 ÷ 5

8+11×4--10÷5

8+11×4-2

8+44-2

52-2

50

What are the domain and range of this function?

PLZ HELP ILL MARK AS BRAINLIEST!!!

Answers

Answer:

Domain {-5, -4, 1, 2, 4, 5}

Range {-4, -2, 1, 2, 4, 5}

Step-by-step explanation:

Please help me with this question

Answers

Answer:

120

Step-by-step explanation:

What is 3/8 ÷ 8 simplified?

Answers

Answer:

3/64

Step-by-step explanation:

Answer: 3/64

Step-by-step explanation:

PLEASE I NEED HELP ASAP!!! I WILL GIVE OUT BRAINLIEST TO THE FASTEST ANSWER ACELLUS: Simplify the midpoint of QS

Answers

9514 1404 393

Answer:

  (a +b, c)

Step-by-step explanation:

The midpoint formula and point coordinates are given. Put the coordinates in the formula and simplify.

  M = ((2b +2a)/2, (2c +0)/2)

  M = (a +b, c)

9514 1404 393

(a +b, c)

Step-by-step explanation:

The midpoint formula and point coordinates are given. Put the coordinates in the formula and simplify.

M = ((2b +2a)/2, (2c +0)/2)

M = (a +b, c)

Find the equation of the line.
Use exact number

*PLEASE HELP LAST DAY OF SCHOOL

*50 POINTS PLUS BRAINLIEST

Answers

Answer:

-2/9

Step-by-step explanation:

y - y1 = m (x - x1 ) write an equation in point slope form given point ( -5, -1 ) and m = 1/5

Answers

Answer:

y=1/5x-24/5

Step-by-step explanation:

y-(-5)=1/5(x-(-1))

y+5=1/5x+1/5

-5            -5

y=1/5x+1/5-5

y=1/5x+1/5-25/5

y=1/5x-24/5

examine the variety of shapes below if a shape has shading then find the area of the Shaded region ​

Answers

only the last figure (i.e figure e) is shaded

The shaded region is a triangle

Area of a triangle

= ½ × b × h

= ½ × 14 × 5

= ½ × 70

= 35yd²

A number cube has the numbers
1 through 6.
After rolling it 60 times, about how
many times would you roll a 5?

Answers

Answer:

that is based on luck u could get 5 everytime or none, depends on what roll

what is. 60+6000=?? (●'◡'●)

Answers

Answer:

6060

Step-by-step explanation:

ヽ(゚Д゚)ノ

Answer:

6060

Step-by-step explanation:

6000+60

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours and total work fee she charges? There are 3 answers

Answers

Answer: As given, relationship between the number of hours a plumber works and the total work fee she charges is proportional.

The meaning of proportional is Ratio of number of hours a plumber works and the total work fee she charges is constant.

Using Unitary method

5 hours of work = $350

1 hours of work = $70

Let number of hours worked = x hours

Amount earned for x hours of work is represented by = $ y

For , x hours of work amount earned = 70 x (x=1,2,3...)

→y= 70 x

→→

Step-by-step explanation:

SV is an angle bisector of ∠RST. If m∠RSV = (3x + 9)° and m∠RST = (8x − 26)°, find x.

Answers

Answer:

C) Definition of Angle Bisector, x=22

Step-by-step explanation:

[tex]As\ we\ the\ question\ relates\ only\ about\ SV\ bisecting\ \angle RST,\ We\ may\ use\ the\\[/tex][tex]C)Angle\ Bisector[/tex]

[tex]From\ the\ information\ provided\ we\ know\ that,\\SV\ bisects\ \angle RST\ into\ \angle RSV\ and\ \angle VST.\\Hence,\\\angle RSV\ and\ \angle VST\ are\ equal\ as\ they\ are\ the\ bisected\ angles\ of\ the\ same\ angle.\\Hence,\\\angle RSV\ = \angle VST\\Hence,\\We\ know\ that:\\\angle RSV\ + \angle VST =\angle RST\\Hence,\\\angle RSV\ +\angle RSV\ = \angle RST\\2\angle RSV=\ \angle RST\\[/tex]

[tex]Now\ from\ the\ information\ about\ the\ values\ of\ the\ angles\ provided\ in\ the\ question\ ,\\\angle RSV=(3x+9)\\\angle RST=(8x-26)\\Hence,\\2(3x+9)=(8x-26)\\6x+18=8x-26\\18+26=8x-6x\\2x=44\\x=22[/tex]

Joann has a certain number of dimes and quarters in her purse, with a total value of $3.75. The
number of quarters is 2 less than 3 times the number of dimes. Which system of equations could
be used to find the number of dimes, d, and the number of quarters, q, that Joann has?

Answers

Answer:

The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.

Step-by-step explanation:

Given that:

Total value of dimes and quarters = $3.75 = 3.75*100 = 375 cents

One quarter = 25 cents

One dime = 10 cents

Let,

d be the number of dimes

q be the number of quarters

According to given statement,

10d+25q=375

q = 3d-2

Hence,

The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.

What is the value of Negative 4 squared + (5 minus 2) (negative 6)? –34 –2 10 34

Answers

Answer:

The Answer is -34 (Negative 34)

Letter Choice A

Step-by-step explanation:

Hope it helped!!

In a newspaper, it was reported that yearly robberies in Springfield were up 40% to 154 in 2012 from 2011. How many robberies were there in Springfield in 2011?

Answers

Answer:

It increased by 61. 2011 had 93

Step-by-step explanation:

ILL MARK YOU BRAINLIST HELP ME PLEASEE

Answers

Answer: 2.5 (H) hope this helped :)

Step-by-step explanation:

What is 4/9 of 21???

Answers

Answer:

9.3π

I hope this helps :3

Answer:

Hi how are you doing today Jasmine

Which equation represents the vertical line shown on the graph?

Answers

There is no equation lt would be called undefined

One inch is approximately 252
5
millimeters. What is 252
5
as a decimal?

Answers

Answer:

50.4 or 50.4%

Step-by-step explanation:

decimal calculator to find what's an equivalent decimal for the fractional number 252/5. 50.4 is a decimal and 5040/100 or 5040% is the percentage for 252/5.

Answer:

25.4

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

Question 1 need help asap

Answers

Answer:

x= -9

Step-by-step explanation:

Hope you got this interesting problem!

Answer:

x= x-81

take 180-(x+45)-45= x-81

-2.5(x-4)=-3+4
What is the solution to the equation

Answers

thank me the answer is x=3.6

a shirt that cost $5 is marked up 20% what is the markup​

Answers

Answer:

1 dollar

Step-by-step explanation:

20% = .20(percentage to decimal conversion)

.20 * 5 = 1 or 5 * .20 = 1 either way works

What number is 150% more than 2/3

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

0.4 repeating

Step-by-step explanation:

Divide 2/3 by 150%

Sal used a card to make the purchase, and the full amount was immediately withdrawn from his bank account.

Jen used a card to make the purchase, and she received a bill within 15 days of the purchase. She paid $21.30 for the next 18 months until the bill was paid in full. The full payment included $58.60 in interest.

Which statement describes Sal’s purchase?
Sal used a debit card and paid a total of $383.40 for the stereo.
Sal used a debit card and paid a total of $324.80 for the stereo.
Sal used a credit card and paid a total of $383.40 for the stereo.
Sal used a credit card and paid a total of $324.80 for the stereo.

Answers

Answer:

correct answer is B hope this helps :)

Step-by-step explanation:

The statement describes Sal’s purchase

Sal used a debit card and paid a total of $324.80 for the stereo.

What is Debit card statement?

The statement includes deposits, charges, and withdrawals, as well as the period's initial and ending balances. Account holders typically scan their bank statements once a month to assist keep track of their costs and spending, as well as to look for any fraudulent charges or errors.

Sal and Jen went shopping together and bought the same vehicle stereo. Sal made the purchase with a credit card, and the full money was instantly deducted from his bank account.

Jen used a credit card to complete the purchase, and she received a statement within 15 days.

She made monthly payments of $21.30 for the next 18 months until the account was paid in full. The total payment included interest of $58.60.

Sal used a debit card and paid a total of $324.80 for the stereo," says the document that explains Sal's purchase.

Learn more about Debit card statement here:

https://brainly.com/question/30643540

#SPJ3

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