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.
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Make the minimum number of people as x.
The amount of money they get per person is 55x, plus the donation will be equal to $10,000.
The initial amount is 55x+10,000.
However, they must spend 15 per entry, so the actual profit is 55x+10000-15x or 40x+10000
Since the profit needs to be at least 55,000, set it as an inequality.
40x+10000 \ge 55,000
40x \ge 45000
x \ge 1125
There must be a minimum of 1125 race entries.
The answer to this question is 1125.
The amount of money they get per person is 55x, plus the donation will be equal to $10,000.
The initial amount is 55x+10,000.
However, they must spend 15 per entry, so the actual profit is 55x+10000-15x or 40x+10000
Since the profit needs to be at least 55,000, set it as an inequality.
40x+10000 \ge 55,000
40x \ge 45000
x \ge 1125
There must be a minimum of 1125 race entries.
The answer to this question is 1125.
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