Question

(7p+3q):(3p-2q)=43:2 find p:q

Answer 1

(7(p/q)+3) / (3(p/q)-2) = 43/2
(43*3-14)(p/q)=6+43*3

(p/q) = 135/115 = 27/23

Answer 2

Answer:

The ratio of p:q is 4:5.

Step-by-step explanation:

It is given that

(7p+3q):(3p-2q)=43:2

It can be written as

$\frac{7p+3q}{3p-2q}=\frac{43}{2}$

$2(7p+3q)=43(3p-2q)$

$14p+6q=129p-86q$

$14p-129p=-6q-86q$

$-115p=-92q$

$\frac{p}{q}=\frac{-92}{-115}$

$\frac{p}{q}=\frac{4}{5}$

Therefore the ratio of p:q is 4:5.