If a : b =1(1/2):2 (1/4) and b:c = 2:3(1/2),then what is a:b:c equal toA12 : 8 : 21B8 : 21 : 12C8 : 12 : 21D21 : 8 : 12
Question
Solution
First, let's simplify the ratios:
a : b = 1(1/2) : 2(1/4) = 3/2 : 9/4 = 6/4 : 9/4 = 6 : 9
b : c = 2 : 3(1/2) = 2 : 7/2 = 4/2 : 7/2 = 4 : 7
Now, to find the ratio a : b : c, we need to make the 'b' in both ratios equal. We can do this by multiplying the first ratio by 4 and the second ratio by 9:
a : b = 6 * 4 : 9 * 4 = 24 : 36 b : c = 4 * 9 : 7 * 9 = 36 : 63
Now, we can combine these to get a : b : c:
a : b : c = 24 : 36 : 63
However, this ratio can be simplified by dividing each part by 3:
a : b : c = 8 : 12 : 21
So, the answer is C: 8 : 12 : 21.
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