A band sells CDs for $8 each and T-shirts for $15 each. Sarah wants to but some CDs and T-shirts as a gift for her friends, but she can spend a total of $75 at most.

Question

Write an inequality using x and y variables to represent this situation.

Answer 1

Let x = no. t-shirts and y = no. of CD's. The cost is the no. of items x the unit price.

There's a maximum of $75, so the inequality would be 15x + 8y ≤ 75.

You only ask for the inequality using x and y. Why not T and C (easier to identify which is which)?

There are lots of possible combinations that would work if Sarah doesn't spend all the money (except for y = 0). Are there any others?

Answer 2

C is CD's, T is T-shirts.

8C + 15T <= 75