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Popular >

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2.

Solution

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2.

Solution

The number : 1 \frac{1}{2}

Solution steps

Represent the number with

x

A.T.Q.:

x + \frac{1}{6} x + \frac{5}{2} x + 7 = \frac{25}{2}

Solve for

x, x + \frac{1}{6} x + \frac{5}{2} x + 7 = \frac{25}{2} : x = \frac{3}{2}

Convert improper fractions to mixed numbers:

\frac{3}{2} = 1 \frac{1}{2}

The number : 1 \frac{1}{2}

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