Question

A local charity sponsors a 5K race to raise money. It receives $45 per race entry and $17,900 in donations, but it must spend $10 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

Answer: Let x be the number of race entries. In order to raise at least $55,000, we must have 45x + 17,900 ≥ 55,000 −45x ≥ −37,100 x ≤ -37,100/45 x ≤ 824.44 Therefore, the charity needs 824 or more race entries to raise at least $55,000.