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What you have here is a set of simultaneous linear equations. Let A be the number of adults and C be the number of children. A+C = 1130 ("1130 people enter the festival") and 4A + 1.5C = 2520 (based on the admission rates and the amount of money collected).

Rearranging
A = 1130 - C,
Substitute for A to give
4(1130-C) + 1.5C = 2520
Multiply to give
4520 - 4C + 1.5C = 2520
Subtract 2520 from both sides to give
-4C + 1.5C = -2000
Actually do that addition and multiply by -1 to give
2.5C = 2000
At this point it's obvious that
C = 800.

There are 800 children and 330 adults.

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7y ago
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7y ago

800 of them.

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Q: The admission fee at the steamboat springs hot air balloon festival is 1.50 for children and 4.00 for adults. On a certain day 1130 people enter the festival and 2520 is collected. How many children?
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