Math Word Problem dealing with Proportions.

Question

Sally bought 500 glucose test strips to last for three months. She tests her blood sugar three times a day. The glucose test strips company offers a refund policy as long as the quantity of eligible products submitted for a refund does not exceed 150% of her uploaded tests. How many eligible products/glucose test strips can Sally submit without going over 150%

Answer 1

x = no. unused (available for refund).

500 - x = no. uploaded (used)

No. for refund can't exceed 150% of the no. used.

x ≤ 1.5(500 - x)

x ≤ 750 - 1.5x

2.5x ≤ 750

x ≤ 300 tests for refund (= 150% of the 200 used)

Answer 2

x = no. unused (available for refund).

500 - x = no. uploaded (used)

No. for refund can't exceed 150% of the no. used.

x ≤ 1.5(500 - x)

x ≤ 750 - 1.5x

2.5x ≤ 750

x ≤ 300 tests for refund (= 150% of the 200 used)