If a : b = 5 : 2 and b : c = 7 : 9, then find the value of a : c. Ops: A. 25 : 24 B. 35 : 18 C. 35 : 24 D. 25 : 18
Question
If a : b = 5 : 2 and b : c = 7 : 9, then find the value of a : c. Ops: A. 25 : 24 B. 35 : 18 C. 35 : 24 D. 25 : 18
Solution
To solve this problem, we need to find the ratio of a to c. We can do this by multiplying the two given ratios together.
Step 1: Write down the given ratios. a : b = 5 : 2 b : c = 7 : 9
Step 2: Multiply the two ratios together. (a : b) * (b : c) = (a : c) (5 : 2) * (7 : 9) = (57 : 29) = (35 : 18)
So, the ratio of a to c is 35 : 18. Therefore, the correct answer is B. 35 : 18.
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