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mezya [45]
3 years ago
5

On a certain hot summers day , 293 people used the public swimming pool. Daily prices are $1.50 for children and $2.50 for adult

s. The receipts for admission totaled $676.50. How many children and how many adults swam at the public pool that day?
Mathematics
1 answer:
fredd [130]3 years ago
8 0

C = children

A = adults

293 = c + a

1.50c + 2.50a = 676.50

We can use substitution to solve:

c + a = 293 subtract a to get c = 293 - a

Plug this into the second equation:

1.50(293 - a) + 2.50a = 676.50

439.5 - 1.50a + 2.50a = 676.50

439.5 + 1a = 676.50

a = 237

Substitute this into the first equation:

293 = c + 237

56 = c

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