Question

Ashley has a $80 gift card to her favorite coffee shop. Each day, she uses her gift *

card to buy a coffee for $4.50, Aaron has a $60 gift card to the same coffee shop.
Each day, he uses his gift card to buy an iced tea for $2.50. For what number of
drinks purchased will Ashley's gift card balance be greater or equal to Aaron's?

Answer 1

Explanation:

I assume this means that both purchase one item every day.

so, their number of purchases are the same (x).

80 - 4.5x >= 60 - 2.5x

20 - 4.5x >= -2.5x

20 >= 2x

10 >= x

our

x <= 10

after 10 purchased drinks their balances will be equal.

before that, Ashley's card balance will be greater than Aaron's.

after that, Aaron's card balance will be greater than Ashley's.

so, for up to 10 purchased drinks Ashley's card balance will be greater or equal to Aaron's.