Question

Showplace Lanes charges

$4.50 per game as well as
$3 for shoe rental
.
Westgate Bowling charges
$4 per game and $4 for
shoe rental. How many
games must be bowled
before the price is the
same at both bowling lanes?
What is the cost?

Answer 1

2 game, $12

Explanation:

Given data

Showplace Lanes charges

$4.50 per game as well as

$3 for shoe rental

Let the number of games be x

let the total charge for x games be y

y= 4.5x+3-----------1

Westgate Bowling charges

$4 per game and $4 for

shoe rental

Let the number of games be x

let the total charge for x games be y

y= 4x+4-----------2

Equate 1 and 2

4.5x+3= 4x+4

collect like terms

4.5x-4x= 4-3

0.5x= 1

divide both sides by 0.5

x= 1/0.5

x= 2 games

put x= 2 in equation 1 or 2

y= 4x+4-----------2

y= 4*2+4

y= 8+4

y= $12