Question

Ben and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals and $6.00 per game. How many games would they play in order to cost the same amount?

Answer 1

4 games

Explanation:

Let x be the no. of games played in order to cost the same amount

At one location, they can pay $2.00 for rentals plus $7.50 per game.

So, Total cost at this location for x games = 2+7.5x

At another location, it would cost $8.00 for rentals and $6.00 per game

So, Total cost at this location for x games = 8+6x

Since we know that the cost of playing x games will be same

So,
`2+7.5x=8+6x`

`7.5x-6x=8-2`

`1.5x=6`

`x=(6)/(1.5)`

`x=4`

Hence they play 4 games in order to cost the same amount