A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?

helpp pls​

Answers

Answer 1

Answer:

Number of dimes in the bag = 90

Number of quarters in the bag = 186

Step-by-step explanation:

Let

x = Number of dimes in the bag

y = Number of quarters in the bag

= 2x + 6

Total = 276

276 = x + 2x + 6

276 = 3x + 6

276 - 6 = 3x

270 = 3x

x = 270/3

= 90

x = 90

Number of dimes in the bag = 90

Number of quarters in the bag = 2x + 6

= 2(90) + 6

=180 + 6

= 186

Total = Number of dimes in the bag + Number of quarters

= 90 + 186

= 276


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Answers

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Answers

Final Answer: [tex]x = 12[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the equation [tex]\frac{1}{2}x + 3 = \frac{2}{3}x + 1?[/tex]

Step 1: Simplify [tex]\frac{1}{2}x[/tex] to [tex]\frac{x}{2}[/tex].

[tex]\frac{x}{2} + 3 = \frac{2}{3}x + 1[/tex]

Step 2: Simplify [tex]\frac{2}{3}x[/tex] to [tex]\frac{2x}{3}[/tex].

[tex]\frac{x}{2} + 3 = \frac{2x}{3} + 1[/tex]

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Step 4: Subtract [tex]3x[/tex] from both sides.

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Step 5: Simplify [tex]4x + 6 - 3x[/tex] to [tex]x + 6[/tex].

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Step 6: Subtract [tex]6[/tex] from both sides.

[tex]18 - 6 = x[/tex]

Step 7: Simplify [tex]18 - 6[/tex] to [tex]12[/tex].

[tex]12 = x[/tex]

Step 8: Switch sides.

[tex]x = 12[/tex]

~I hope I helped you :)~

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Answers

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Answers

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