Question

PLEASE HELP!!

Find the ratio a:b if it is given that:

Answer 1

14: 1

Explanation:

`Given: (2a - 3b)/(5) = (a + b)/(3)`

Cross multiply:

3(2a -3b)= 5(a +b)

Expand:

6a -9b= 5a +5b

Move all a terms to one side, b terms to the other:

6a -5a= 9b +5b

Simplify:

a= 14b

Divide by b on both sides:

`(a)/(b) = 14`

Rewriting 14 as a fraction:

`(a)/(b) = (14)/(1)`

∴ a: b= 14: 1