Question

If a : b = 5 : 2, find a + 3b : 3a + b?​

Answer 1

Answer:

Now substitute for a in the algebraic expression:

(2a+3b)/(3a-2b)

A = 3b/2

(2(3b/2)+3b)/(3(3b/2)-2b

(6b/2 + 3b)/(9b/2–2b)

Multiply all terms by 2 to eliminate the fractions:

(6b+6b)/(9b-4b)

12b/5b

Divide out the B’s:

12/5

So (2a+3b)/(3a-2b) = 12/5