On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?

Number of children = 386

Number of adults = 287

Step-by-step explanation:

Let

x = number of children

y = number of adults

x + y = 673 (1)

1.75x + 2y = 1249.50 (2)

From (1)

x = 673 - y

Substitute x = 673 - y into (2)

1.75x + 2y = 1249.50

1.75(673 - y) + 2y = 1249.50

1177.75 - 1.75y + 2y = 1249.50

- 1.75y + 2y = 1249.50 - 1177.75

0.25y = 71.75

y = 71.75/0.25

y = 287

Substitute y = 287 into (1)

x + y = 673

x + 287 = 673

x = 673 - 287

x = 386

Number of children = 386

Number of adults = 287

Step-by-step explanation:

Here, in step format, is how to solve a system with three equations and three variables:

Pick any two pairs of equations from the system.

Eliminate the same variable from each pair using the Addition/Subtraction method.

Solve the system of the two new equations using the Addition/Subtraction method.