How do you solve (5p)/3 + (2p)/4 = 9 ?

Mar 10, 2016

$p = \frac{54}{13}$

Explanation:

$\frac{5 p}{3} + \frac{2 p}{4} = 9$

The L.C.M of $3$ and $4$ is $= 12$

$\frac{5 p \cdot 4}{3 \cdot 4} + \frac{2 p \cdot 3}{4 \cdot 3} = 9$

$\frac{20 p}{12} + \frac{6 p}{12} = 9$

$\frac{26 p}{12} = 9$

$26 p = 9 \cdot 12$

$26 p = 108$

$p = \frac{\cancel{108}}{\cancel{26}}$

$p = \frac{54}{13}$