Question

Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Game charges $3.25 for ball and club and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.

Answer 1

Based on the given parameters, the cost will be the same for 5 games at both Go Golf and Golf Game.

For how many games would the cost be the same?

Let's denote the number of games as 'x'.

For Go Golf:

The cost for x games = Cost of ball and club rental + Cost of x games

Cost for x games = $2.50 + $4.25x

For Golf Game:

The cost for x games = Cost of ball and club + Cost of x games

Cost for x games = $3.25 + $8.50 × 2

Now, setting these two costs equal to each other and solving for 'x' will give us the number of games for which the cost would be the same for both options.

So, we equate the two costs and solve for 'x':

$2.50 + $4.25x = $3.25 + $17.00

$4.25x = $3.25 + $17.00 - $2.50

$4.25x = $17.75

x = $17.75 ÷ $4.25

x ≈ 4.18

Rounding up because you can't play a fraction of a game, Isaac would need to play 5 games for the cost to be the same for both options.