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Popular Word Problems >

The sum of one half and twice a number is equal to five sixths subtracted from three times the number. Find the number.

Solution

T h e s u m o f o n e ha l f an d tw i ce a n u mb er i s e q u a l t o f i v e s i x t h s s u b t r a c t e d f ro m t h ree t im es t h e n u mb er . F in d t h e n u mb er .

Solution

The number : 1 \frac{1}{3}

Solution steps

Represent the number with

x

A.T.Q.:

\frac{1}{2} + 2 x = 3 x - \frac{5}{6}

Solve for

x, \frac{1}{2} + 2 x = 3 x - \frac{5}{6} : x = \frac{4}{3}

Convert improper fractions to mixed numbers:

\frac{4}{3} = 1 \frac{1}{3}

The number : 1 \frac{1}{3}

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