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Modeling with Linear Systems Answers

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Abner wants to create a shopping budget where he spends less than $80 per month on school clothes and gym clothes combined. He also wants to spend at least three times as much on school clothes as on gym clothes. Let g represent the amount Abner spends on gym clothes per month, and let s represent the amount he spends on school clothes per month. Abner’s budget is represented by the graph below. Which statement is true?

Question illustration
A
Abner can spend $50 per month on school clothes and $10 per month on gym clothes and stay within his budget.
B
Abner can spend $10 per month on school clothes and $50 per month on gym clothes and stay within his budget.
C
Abner can spend $20 per month on school clothes and $60 per month on gym clothes and stay within his budget.
D
Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.
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Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has 4 more video games than Beth, and together they have a total of 24 video games. Which system of equations can be used to find how many video games belong to each friend?

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Option A
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Option C
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Option D
3

The Carson family paid $192 for two adult and three youth tickets to an amusement park. At the same park, the Davis family paid $148 for one adult and four youth tickets. Let x represent the cost of an adult ticket, and let y represent the cost of a youth ticket. Which system of equations can be used to find the cost of each ticket?

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Option A
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Option B
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Option C
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Option D

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