# The sum of five and eight times a number is the same as fifty plus one-half the number. How do you find the number?

Jan 8, 2017

Convert the statement into an algebraic equation and solve for the desired value.

#### Explanation:

Sum and plus = addition, Times = multiplication. Same = equals

Use ‘x’ as the unknown value.

$5 + 8 \cdot x = 50 + \left(\frac{1}{2}\right) \cdot x$

$7.5 x = 45 \implies x = 6$

CHECK:

$5 + 8 \left(6\right) = 50 + \left(\frac{1}{2}\right) \left(6\right)$

$5 + 48 = 50 + 3$

$53 = 53 \to$ CORRECT