A local charity sponsors a 5K race to raise money. It receives $58 per race entry and $15,000 in donations, but it must spend $13 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 60,000

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Samanthacook9223 Samanthacook9223

22-12-2017
Mathematics

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A local charity sponsors a 5K race to raise money. It receives $58 per race entry and $15,000 in donations, but it must spend $13 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 60,000

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tcopelandstone tcopelandstone · Answer 1 · 2017-12-22T14:24:42+01:00

There are various ways to set up an inequality for the problem. I will help you solve it, though.

So, first we'll take the total amount needed for charity which is $60,000. Subtract the amount in donations, $15,000.

60,000-15,000= 45,000

That means, they "only" need $45,000 more for their $60,000 goal.

We'll determine how much money they'll take in per person. Since they have to also pay for each racer of $13; we'll subtract that amount of the entry fee of $58.

58-13= 45.

Now, we know that they will make $45 per person via entry fee in profit.

We'll take our total of $45,000 and divide it by $45. This will leave you with 1,000.

1,000 race entries are required for this charity to raise $60,000.