a:b = 3:7 and b:c = 9:5. What is a:b:c?
A)3:15:5
B)21:16:45
C)3:7:5
D)27: 63:35

Question

Quizplus · Accepted Answer

To find the ratio a:b:c, we need to make the middle term of both ratios (b) the same. The given ratios are a:b = 3:7 and b:c = 9:5. To make the 'b' term the same in both ratios, we can multiply the first ratio by 9 (the 'b' value in the second ratio) and the second ratio by 7 (the 'b' value in the first ratio). This gives us a:b = 27:63 and b:c = 63:35. Combining these, we get a:b:c = 27:63:35.

A:b = 3:7 and B:c = 9:5