Given that a:b is 5:6 and a:c is 3:2, what is a:b:c?
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Ratio a : b = 5 : 6 (Given)
Ratio a : c = 3 : 2 (Given)
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Given that "a" is common in both ratio, we make both the "a" the same:
Ratio a : b = 5 x 3 : 6 x 3 = 15 : 18
Ratio a : c = 3 x 5 : 2 x 5 = 15 : 10
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Now that both the "a" is the same, we can combine the two ratio:
Ratio a : b : c = 15 : 18 : 10
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Answer: a : b : c = 15 : 18 : 10
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