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If a : b = 5 : 9 and b : c = 4: 7, find a : b : c.

A. 30/7

B. 31/7

C. 32/7

D. 34/7

Correct Answer :

C. 32/7


X/Y=3/4 ⇔ (4x+5y)/(5x+2y)= (4( x/y)+5)/(5 (x/y)-2) =(4(3/4)+5)/(5(3/4)-2)                            =(3+5)/(7/4)=32/7
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