Question

Cassie received a 20%-off coupon and a $10-off coupon from a department store. She visits the department store during a tax-free sale and plans to spend no more than $25.20. She also plans to use both of the coupons she received on her purchase. If this situation is modeled by the inequality below, what must be the original purchase total, x, before the discounts are applied?

0.8x-$10<=$25.20

A.
The original purchase total must be at least to $21.50 before the discounts are applied.
B.
The original purchase total must be at most to $44 before the discounts are applied.
C.
The original purchase total must be at least to $44 before the discounts are applied.
D.
The original purchase total must be at least to $35.20 before the discounts are applied.

Answer 1

B. The original purchase total must be at most to $44 before the discounts are applied.

Explanation:

Solve the inequality by adding $10, then dividing by 0.8.

0.8x -$10 ≤ $25.20

0.8x ≤ $35.20 . . . . . . . . add $10

x ≤ $35.20/0.8 . . . . . . . divide by 0.8

x ≤ $44 . . . . . . . . . the before-discount purchase must be at most $44