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

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Answer 1 · 2016-08-05T12:50:49

$= 37$ $=37$

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

Answer 2 · 2016-08-05T13:28:17

$37$ $37$ bulbs

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

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

$3 x = 8 \times 14$ $3x = 8 xx14$

$x = \frac{8 \times 14}{3}$ $x = (8xx14)/3$

= $37.33333$ $37.33333$

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

On a restaurant sign, 14 light bulbs must be replaced. These light bulbs represent 383/8 of the total number of light bulbs on the sign. What is the total number of light bulbs?