A recreation center offers a children's birthday party for $75 plus $5 for each child. How many children were at Payton's birthday party of the total cost for the party was $145?

14 children

Step-by-step explanation:

Let y be number of children.

Let T be the total cost for the party.

The recreation center offers a children's birthday party for $75 plus $5 for each child. This implies that:

T = 75 + 5y

The total cost for Payton's birthday party is $145. We can find the number of children (y) present by doing the following:

T = 75 + 5y

But T = 145

145 = 75 - 5y

Collect like terms

145 - 75 = 5y

70 = 5y

Divide both side by the coefficient of y i. e 5

y = 70/5

y = 14

Therefore, there are 14 children present at Payton's birthday party