# How do you solve 3/5P + 18 = 24?

Mar 20, 2018

$P = 10$

#### Explanation:

$\frac{3}{5} P + 18 = 24$

$\frac{3}{5} P = 6$ Subtract $18$ from both sides

Now divide both sides by $\frac{3}{5}$:

$\frac{3}{5} P = 6$
$P = \frac{6}{\frac{3}{5}}$

When dividing by a fraction, multiply by its reciprocal (flip it), hence the $\frac{3}{5}$ turning into $\frac{5}{3}$

$P = \left(\frac{6}{1}\right) \cdot \left(\frac{5}{3}\right)$

$P = \frac{30}{3}$

$P = 10$ Simplify