Question

A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.

Answer 1

The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

Let x represent the number of cyclists.

Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:

Revenue = 60x + 15000

Also, the cost of the race is $18 per entry, hence:

Cost = 18x

They need to raise at least $57,000, hence:

Profit ≥ 57000

Revenue - Cost ≥ 57000

(60x + 15000) - 18x ≥ 57000

42x ≥ 42000

x ≥ 1000

Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

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