At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460. $76$141Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Complete the system of equations that can be used to find the number of each type sold. The system is braceleftze 76x + y = x + y =

Answers

Answer 1

Answer:

The system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

Step-by-step explanation:

Let

x represent the number of polyester-fill bags sold

y represent the number of down-fill bags sold.

In one week the store sold 17 sleeping bags

x + y = 17 ...... Equation 1

x = 17 - y

At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.

Hence:

$76 × x + $141 × y = $1460

76x + 141y = 1460....... Equation 2

Therefore, the system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2


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[tex] \colorbox{red}{A{ \colorbox{orange}{N{ \colorbox{yellow}{S{ \colorbox{blue}{W{ \colorbox{royalblue}{E{ \colorbox{cyan} {R{ \colorbox{purple}{S}}}}}}}}}}}}}: [/tex]

[tex] {\bold\green{Answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{A.\:42,757.2}}}}} [/tex]

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============================

[tex] \LARGE\bold\blue{\tt{SOLUTIONS}} [/tex]

First, multiply 37 and 42.8

[tex] {\bold\green{37 × 42.8 }} \green\implies\blue{\boxed{\bold\blue{1,583.6 }}} [/tex]

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[tex] {\bold\green{1,583.6 × 27}} \green\implies\blue{\boxed{\bold\blue{42,757.2}}} [/tex]

[tex] {\bold\green{Final\:answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{42,757.2}}}}} [/tex]

============================

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Answers

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Answers

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