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If 6.5 plus 9.5 times a number equals the sum of the number and 43.3, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.

Solution

Solution

The number : 4 \frac{28}{85}

Solution steps

Represent the number with

x

A.T.Q.:

6.5 + 9.5 x = x + 43.3

Solve for

x, 6.5 + 9.5 x = x + 43.3 : x = \frac{368}{85}

Convert improper fractions to mixed numbers:

\frac{368}{85} = 4 \frac{28}{85}

The number : 4 \frac{28}{85}

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