Question

Two less than three– fourths of a number is ten. What is the number?

A. 10 2/3
B. 13 1/3
C. 15 1/3
D. 16

Answer 1

Option D. 16

Explanation:

Let

x ----> the number

we know that

The linear equation that represent this problem is equal to

`(3)/(4)x-2=10`

Solve for x

Multiply by 4 both sides

`(4)*(3)/(4)x-2*4=10*4`

`3x-8=40`

Adds 8 both sides

`3x-8+8=40+8`

`3x=48`

Divide by 3 both sides

`3x/3=48/3`

`x=16`

therefore

The number is 16