# Which is the solution to the equation 8.25+1/4w= 10.75?

Dec 20, 2016

$w = 10$

#### Explanation:

First, isolate the $w$ term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$8.25 - \textcolor{red}{8.25} + \frac{1}{4} w = 10.75 - \textcolor{red}{8.25}$

0 + 1/4w = 2.5#

$\frac{1}{4} w = 2.5$

Next, solve for $w$ while keeping the equation balanced:

$\textcolor{red}{4} \times \frac{1}{4} w = \textcolor{red}{4} \times 2.5$

$\frac{4}{4} w = 10$

$1 w = 10$

$w = 10$