Question

The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.

Answer 1

x = number of entries 55x + 10000 - 15x ≥ 55000 First, subtract 10000 from each side 55x - 15x ≥ 45000 Now, we can combine 55x and 15x because they've both got the same variable attached 40x ≥ 45000 Now divide each side by 40 to isolate x (which is the number of entries) x ≥ 1125 The race needs at least 1125 entries to raise at least $55,000.