On a certain hot summers day, 293 people used the public swimming pool. Daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $676.50. How many children and how many adults swam at the public pool that day?

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