A school is considering two different pricing options for a carnival fundraiser. The first would charge $5 admission and $1 per game. The second would charge $2.50 admission and $1.50 per game. 1. Write and solve an equation to find the number of games where both options will cost the same price.

Answer 1

Let x be the number of games played.

For the first option:
Total cost = $5 + $1x

For the second option:
Total cost = $2.50 + $1.50x

Setting the two total costs equal to each other:
$5 + $1x = $2.50 + $1.50x

Rearranging the equation:
$2.50 = $0.50x

Dividing both sides by $0.50:
x = 5

Therefore, the two options will cost the same price after playing 5 games.