Question

You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding the go-carts for $8 per ride (r), and using the batting cages, for $6 per set of baseballs (s). What is the equation for the total number of rides on the go-carts and sets of baseballs you can get at the batting cages for your total amount of money you brought? If you ride the go-carts 14 times, how many sets of baseballs can you get at the batting cages according to the equation?

Answer 1

`8r + 6s = 100` --- (a)

`s = -2` ---- (b)

Explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

`8r + 6s = 100`

Solving (b):

Value of s when r = 14

`8r + 6s = 100`

Substitute 14 for r

`8 * 14 + 6s = 100`

`112+ 6s = 100`

Solve for 6s

`6s = 100 - 112`

`6s = -12`

Solve for s

`s = -12/6`

`s = -2`