Abner wants to create a shopping budget where he spends less than 80 dollars 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. Which statement is true?
Answer
A
Abner can spend 50 dollars per month on school clothes and 10 dollars per month on gym clothes and stay within his budget.
B
Abner can spend 20 dollars per month on school clothes and 60 dollars per month on gym clothes and stay within his budget.
C
Abner can spend 60 dollars per month on school clothes and 20 dollars per month on gym clothes and stay within his budget.
D
Abner can spend 10 dollars per month on school clothes and 50 dollars per month on gym clothes and stay within his budget.
Explanation
Abner must spend less than $80 in total, and school-clothes spending must be at least three times gym-clothes spending. In choice A, $50 + $10 = $60, which is less than $80, and $50 is at least three times $10. So spending $50 on school clothes and $10 on gym clothes meets both conditions.
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