# On a restaurant sign, 14 light bulbs must be replaced. These light bulbs represent 3/8 of the total number of light bulbs on the sign. What is the total number of light bulbs?

Aug 5, 2016

$= 37$

#### Explanation:

$14 = \frac{3}{8} \left(T o t a l\right)$
or
$T o t a l = \left(14\right) \frac{8}{3}$
or
$T o t a l = 37$

Aug 5, 2016

$37$ bulbs

#### Explanation:

This is a direct proportion, showing a comparison between the number of dead bulbs and the total number of bulbs.

$\frac{3}{8} = \frac{14}{x}$

$3 x = 8 \times 14$

$x = \frac{8 \times 14}{3}$

=$37.33333$

The number of bulbs obviously cannot be a fraction so there are 37 or 38 bulbs.