Susan and Rose went to an arcade where the machines took tokens. Susan played 7 games of skee ball and 10 games of pinball, using a total of 44 tokens. At the same time, Rose played 4 games of skee ball and 5 games of pinball, using up 23 tokens. How many tokens does each game require?
Every game of skee ball requires how many tokens, and every game of pinball requires how many tokens?
Let's call the number of tokens required for a game of skee ball "x" and the number of tokens required for a game of pinball "y".
From the information given, we can set up two equations:
7x + 10y = 44 (equation 1)
4x + 5y = 23 (equation 2)
To solve this system of equations, we can multiply equation 2 by 2 to eliminate the variable "x":
8x + 10y = 46 (equation 3)
Subtracting equation 1 from equation 3, we get:
8x + 10y - 7x - 10y = 46 - 44
Simplifying the equation:
x = 2
Now we can substitute the value of x into either equation 1 or equation 2 to find the value of y. Let's use equation 2:
4(2) + 5y = 23
8 + 5y = 23
5y = 23 - 8
5y = 15
y = 15/5
y = 3
So, a game of skee ball requires 2 tokens and a game of pinball requires 3 tokens.