Question

PLEASE HELP!! Find the ratio a:b if it is given that:

Answer 1

Answer:

14: 1

Step-by-step explanation:

$Given: \frac{2a - 3b}{5} = \frac{a + b}{3}$

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:

$\frac{a}{b} = 14$

Rewriting 14 as a fraction:

$\frac{a}{b} = \frac{14}{1}$

∴ a: b= 14: 1