Julia and Kevin are playing games at the arcade. Julia started with $15, and the machine she is playing cost $.75 per game. Kevin started with $13, and his machine costs $.50 per game. After how many games will these two kids have the same amount of money remaining?

Question

Julia and Kevin are playing games at the arcade. Julia started with $15, and the machine she is playing cost $.75 per game. Kevin started with $13, and his machine costs $.50 per game. After how many games will these two kids have the same amount of money remaining?

Set up an equation and solve.

Answer 1

15 - .75 n = 13 - .5 n

.25 n = 2

n = 8

Answer 2

To solve this problem, we need to set up an equation to represent the amount of money Julia and Kevin have remaining after a certain number of games.

Let's use "x" to represent the number of games played by both Julia and Kevin.

For Julia:
The cost per game is $0.75, so the amount of money she will have left after x games is: 15 - 0.75x

For Kevin:
The cost per game is $0.50, so the amount of money he will have left after x games is: 13 - 0.50x

Now, we can set up an equation to represent when they will have the same amount of money remaining:
15 - 0.75x = 13 - 0.50x

Simplify the equation:
0.75x - 0.50x = 15 - 13
0.25x = 2

Now, solve for x by dividing both sides of the equation by 0.25:
x = 2 / 0.25
x = 8

Therefore, after 8 games, Julia and Kevin will have the same amount of money remaining.