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Question : 15 of 39

Marks: +1, -0

If one-fifth of one-third of one-half of number is

15,

then number is

400
450
500
None

Solution:

Concept:

Translate the phrase into an equation and solve for the unknown number.

Explanation:

Let the number be

x

.

One-half of

x

is

\frac{1}{2} x

.

One-third of that is

\frac{1}{3} \cdot \frac{1}{2} x = \frac{1}{6} x

.

One-fifth of that is

\frac{1}{5} \cdot \frac{1}{6} x = \frac{1}{30} x

.

This equals

15

:

\frac{1}{30}x = 15

.

Multiply both sides by

30

:

x = 15 \times 30 = 450

.

Answer:

The number is

450

.

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