16. The admission to a local fair is $10 for each adult and $6 for each child. Each ride cost $1.50 for an adult and $1 for a child.

A. Write an expression that represents how much more adult will spend at the fair.

B. An adult and child each go on 7 rides. How much more did the adult spend?

Let x = number of adults let y = number of children

There are 30 people in the group, so x+y = 30

The total cost is $175, so 10x + 5y = 175

10x + 5y = 175 Divide by 5: 2x + y = 35

Now subtract the two equations: 2x + y = 35 x + y = 30 x = 5

Substitute x into one of the equations to find y.

5 + y = 30 y = 25

Now plug both values into the other equation to check your work.

2 (5) + 25 = 35 10 + 25 = 35 35 = 35