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Answered

Favian received a $100 gift card to a clothing store. Using only the gift card, he was able to purchase (n) sweaters that cost $32 each and 1 belt for $20. If there was no tax on the sweaters and belt, which of the following must be true?
a) 80 ÷ n ≥ 32
b) 32 ÷ n ≥ 80
c) 80 ÷ n ≤ 32
d) 100 - 32n ≤ 20



Answer :

Answer: Choice A

Work Shown

n = some positive whole number 1,2,3,... etc.

32 = cost of one sweater

32n = cost of n sweaters

20 = cost of one belt

32n+20 = total cost of the sweaters and the belt

total ≤ 100 dollars

32n+20 ≤ 100

32n ≤ 100-20

32n ≤ 80

80 ≥ 32n

80 ÷ n ≥ 32n ÷ n

80 ÷ n ≥ 32

This matches with choice A