Question

On a certain hot summer day, 481 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $865.25. How many children and how many adults swam at the public pool that day?

Answer 1

692 children and 384 adults

Answer 2

264 Adults & 217 Children

Explanation:

children = c

adults = a

a + c = 481...(Equation 1)

1.25c + 2.25a = 865.25...(Equation 2)

Equation 1 can also be written as,

a = 481 - c

Now we can substitute the value of 'a' in Equation 2

1.25c + 2.25 (481 - c) = 865.25

1.25 c + 1082.25 - 2.25c = 865.25

-c = 865.25 - 1082.25

-c = -217

c = 217

Now, we can substitute the value of 'c' in Equation 1

a + c = 481

a + 217 = 481

a = 481 - 217

a = 264