How do you solve $\frac { 1} { 8} ( p + 24) = 9$ ?

Question

2392 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-10T17:42:21

See a solution process below:

First, multiply each side of the equation by $color(red)(8)$ to eliminate the fraction while keeping the equation balanced:

$color(red)(8) xx 1/8(p + 24) = color(red)(8) xx 9$

$color(red)(8)/8(p + 24) = 72$

$1(p + 24) = 72$

$p + 24 = 72$

Now, subtract $color(red)(24)$ from each side of the equation to solve for $p$ while keeping the equation balanced:

$p + 24 - color(red)(24) = 72 - color(red)(24)$

$p + 0 = 48$

$p = 48$

Answer 2 · 2018-03-10T17:44:08

$p = 48$

$1/8(p+24)=9$

We need to get the statement in the parentheses by itself, so the first step is to divide both sides by $1/8$ .

$9/1 -: 1/8 = 9/1 * 8/1 = 72/1 = 72$

$p+24=72$

Then we'll subtract 24 from both sides to get our answer.

$p = 48$

How do you solve \frac { 1} { 8} ( p + 24) = 9\frac { 1} { 8} ( p + 24) = 9?