Answer:
14: 1
Step-by-step explanation:
[tex]Given: \frac{2a - 3b}{5} = \frac{a + b}{3} [/tex]
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:
[tex] \frac{a}{b} = 14[/tex]
Rewriting 14 as a fraction:
[tex] \frac{a}{b} = \frac{14}{1} [/tex]
∴ a: b= 14: 1
