You received a $100 gift certificate to a clothing store. The store sells T-shirts for $12 and dress shirts for $21. You want to spend no more than the amount of the gift certificate. You want to leave at most $7 of the gift certificate unspent. You need at least two dress shirts. What are all of the possible combinations of T-shirts and dress shirts you could buy?

Question

Mathematics

Aryana Cross

9 December, 19:40

You received a $100 gift certificate to a clothing store. The store sells T-shirts for $12 and dress shirts for $21. You want to spend no more than the amount of the gift certificate. You want to leave at most $7 of the gift certificate unspent. You need at least two dress shirts. What are all of the possible combinations of T-shirts and dress shirts you could buy?

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Answers (1)

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Nicolas Morton · Answer 1

3 dress shirts and 3 T-shirts

4 dress shirts and 1 T-shirt

Step-by-step explanation:

You must spend at least $93 and no more than $100.

2 dress shirts: $42 + 5 T-shirts: $60 = $102 too much money

2 dress shirts: $42 + 4 T-shirts: $48 = $90 too much money left

3 dress shirts: $63 + 3 T-shirts: $36 = $99 this works

4 dress shirts: $84 + 1 T-shirt: $12 = $96 this works

5 dress shirts: $105 too much money

Answer:

3 dress shirts and 3 T-shirts

4 dress shirts and 1 T-shirt