Question

Use the five-step strategy for solving word problems to find the number or numbers described in the following exercise.

When 3 times a number is subtracted from 7 times the number, the result is 44. What is the number?

Answer 1

Answer:

The number is -11.

Step-by-step explanation:

3 times a number:

A number is x, and thus, 3 times a number is 3x.

Subtracted from 7 times the number

We have 3x.

Subtracting from 7 times the number is the same as subtracting from 7x. Thus 3x - 7x = -4x.

The result is 44. What is the number?

$-4x = 44$

$4x = -44$

$x = -\frac{44}{4}$

$x = -11$

The number is -11.