Question

Your friend David asks you to play the following number game:

1. Pick a number
2. Add 10
3. Multiply by 4
4. Subtract 7
5. Add the original number

The number you end the game with is 93
a) Write an equation that could be used to solve for the number, n, you started with.

Answer 1

The equation to solve for the starting number in the number game is 4(n + 10) - 7 + n = 93. Simplifying the equation gives the starting number as 12.

Step-by-step explanation:

To solve for the number, n, you started with, you can create an equation based on the given steps of the number game:
1. Pick a number = n
2. Add 10 = n + 10
3. Multiply by 4 = 4(n + 10)
4. Subtract 7 = 4(n + 10) - 7
5. Add the original number = 4(n + 10) - 7 + n
Simplifying the equation:
4(n + 10) - 7 + n = 93
4n + 40 - 7 + n = 93
5n + 33 = 93
5n = 60
n = 12