Question

Solve the proportion for the variable given.

(r+10)/4 = r/5

A) -50
B) -1
C) 3.7
D) -1.902

Answer 1

A) -50

Explanation:

The given proportion relation is

`(r + 10)/(4) = (r)/(5)`

The least common denominator is 20

We multiply through by 20 to get

`20 * ( (r + 10)/(4)) = (r)/(5) * 20`

We simplify to get;

`5(r + 10) = 4r`

Expand the parenthesis to get:

`5r + 50 = 4r`

`5r - 4r = - 50`

This simplifies to

`r = - 50`