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

Donations = $10,000
Revenue = $55 per race enry
Expense = $15 per race entry
Budget ≥ $55,000

Let x = the number of race entries.
Total revenue = Donations + Race entries - Expenses
Therefore
10000 + 55x - 15x ≥ 55000
40x ≥ 45000
x ≥ 1125

Answer: Race entries ≥ 1125