Question

Write an equation to solve the problem.

Three times the quantity eight less than 4 times a number is 60. Find the number.

Answer 1

3 * (4x - 8) = 60

x = 7

Explanation:

First you have to find out what is being done first.

Three times the quantity eight less than 4 times a number is 60.

x = a number

3 *

- 8

4 * x

= 60

The first thing to do is 4 times a number.

4 * x = 4x

Then minus 8.

4x - 8

Then multiply by 3.

3 * (4x - 8) = 60

Solving

Now divide both sides by 3

4x - 8 = 20

Add 8 to both sides

4x = 28

Divide both sides by 4

x = 7

Answer 2

7

Explanation:

let number = x

"4 times a number" = 4x

"eight less than 4 times a number" = eight less than 4x = (4x - 8)

"Three times the quantity eight less than 4 times a number"

= 3 times (4x - 8) = 3(4x-8)

Given that the expression = 60

3(4x-8) = 60

(4x-8) = 20

4x = 20 + 8

x = 28 / 4

x = 7