Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Lindsey and Hannah went to an arcade where the machines took tokens. Lindsey played 2 games of skee ball and 10 games of pinball, using a total of 44 tokens. At the same time, Hannah played 2 games of skee ball and 7 games of pinball, using up 32 tokens. How many tokens does each game require?

Answer 1

To solve this problem, we can set up a system of equations and solve it using substitution or elimination. The solution is that a game of skee ball requires 6 tokens and a game of pinball requires 2 tokens.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let x be the number of tokens required for a game of skee ball and y be the number of tokens required for a game of pinball.

We can then write the following two equations:

2x + 10y = 44

2x + 7y = 32

From here, we can solve the system of equations using any method, such as substitution or elimination.

By solving the system of equations, we find that x = 6 and y = 2. Therefore, a game of skee ball requires 6 tokens and a game of pinball requires 2 tokens.