A local charity sponsors a 5K race to raise money. It receives $25 per race entry and $5,000 in donations, but it must spend $5 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 more than $25,000. Show your work!

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Mathematics

Alec Berg

13 November, 15:11

A local charity sponsors a 5K race to raise money. It receives $25 per race entry and $5,000 in donations, but it must spend $5 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 more than $25,000. Show your work!

Question 1 options:

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Answers (1)

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Sellers · Answer 1

they receive 25 per entry but 5 goes towards the cost of the race

so 25-5 = 20 per entry is for the charity

so 20x + 5000 = 25000

subtract 5000 from each side

20x = 20000

divide both sides by 20

x = 20000 / 20

x = 1000

they need at least 1000 entries to make 25000

so to make more than 25000, they need 1001 entries