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ozzi
3 years ago
14

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

Mathematics
1 answer:
Crank3 years ago
5 0

Answer:

14: 1

Step-by-step explanation:

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

<em>Cross multiply:</em>

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

<em>Expand:</em>

6a -9b= 5a +5b

<em>Move all a terms to one side, b terms to the other:</em>

6a -5a= 9b +5b

<em>Simplify:</em>

a= 14b

<em>Divide by b on both sides:</em>

\frac{a}{b}  = 14

<em>Rewriting 14 as a fraction:</em>

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

∴ a: b= 14: 1

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