Question

Solve the proportion for the variable given.

Answer 1

Answer:

A) -50

Step-by-step explanation:

The given proportion relation is

$\frac{r + 10}{4} = \frac{r}{5}$

The least common denominator is 20

We multiply through by 20 to get

$20 \times ( \frac{r + 10}{4}) = \frac{r}{5} \times 20$

We simplify to get;

$5(r + 10) = 4r$

Expand the parenthesis to get:

$5r + 50 = 4r$

$5r - 4r = - 50$

This simplifies to

$r = - 50$