Question

Hayden played a carnival game 6 times. He spent 3 tokens to play each game, and he won 7 tokens each game. Write two different expressions that can be used to find the total profit in tokens that Hayden made.

Answer 1

1.7x6-18
2.6x3-7x6

1. 7x6=42-18=36
2.6x3=18,7x6=42 18-42=36

Answer 2

First expression: net profit per game times total number of games: (7 - 3) * 6 = 24

Second expression: earnings in all games minus cost of all games: 7 * 6 - 3 * 6 = 24

Explanation:

In each game, he spends 3 tokens and earns 7 tokens, so the net profit per game is 4 tokens. If he played 6 times, we can write this expression:

Profit = (7 - 3) * 6 = 4 * 6 = 24 tokens

We can also solve this finding the total he earned and subtract by the total he spent:

Earnings: 7 tokens per game, total = 7 * 6 = 42

Spent: 3 tokens per game, total 3 * 6 = 18

Profit: Earnings - Spent = 7 * 6 - 3 * 6 = 42 - 18 = 24 tokens