If a : b = 3 : 5 and a = 24, then what is the value of b? Ops: A. 40 B. 35 C. 30 D. 45
Question
If a : b = 3 : 5 and a = 24, then what is the value of b?
Ops:
A. 40
B. 35
C. 30
D. 45
Solution
The given ratio is a : b = 3 : 5.
This means that 'a' is 3 parts of a whole and 'b' is 5 parts of the same whole.
We are also given that a = 24.
To find the value of 1 part, we divide the value of 'a' by the number of parts it represents. So, 1 part = a/3 = 24/3 = 8.
Now, to find the value of 'b', we multiply the value of 1 part by the number of parts 'b' represents. So, b = 5 parts * 8 = 40.
Therefore, the value of 'b' is 40. So, the answer is A. 40.
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