If A:B=3 and B:C=6:7, find A:B:C and A:C

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justaguide | College Teacher | (Level 2) Distinguished Educator

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A:B = 3:1 and B:C = 6:7

A/B = 3

=> A = 3B

B/C = 6/7

=> C = (7B)/6

A:B:C = 3 : 1: 7/6 = 18 : 6 : 7

A: C = 3 : 7/6 = 18 : 7

The ratio A:B:C = 18 : 6 : 7 and A: C = 18 : 7