Question

Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13 and her machine costs $0.50 per game. After how many games will the girls have the same amount of money remaining?​

Answer 1

Answer: After they've played 8 games, they will have the same amount of money remaining.

Explanation:

Represent the number of games by the variable x and the remaining amount of money by the variable y.

Deanna's situation can be represented by the equation y = 15 - 0.75x

Lisa's situation can be represented by the equation y = 13 - 0.50x

Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.

15 - 0.75x = 13 - 0.50x

-13 -13

2 - 0.75x = - 0.50x

+0.75x +0.75x

2 = 0.25x

x = 8