If m : n = 6 : 7 and n = 19.6, then what is the value of m? Ops: A. 12.9 B. 16.8 C. 24.6 D. 21.4
Question
If m : n = 6 : 7 and n = 19.6, then what is the value of m?
Ops:
A. 12.9
B. 16.8
C. 24.6
D. 21.4
Solution
The problem is a ratio problem. Here are the steps to solve it:
Step 1: Understand the problem. The ratio m : n is given as 6 : 7. This means m/n = 6/7.
Step 2: Substitute the given value of n into the ratio. We know that n = 19.6. So, m/19.6 = 6/7.
Step 3: Solve for m. To do this, cross-multiply to get 7m = 6 * 19.6.
Step 4: Simplify the right side of the equation to get 7m = 117.6.
Step 5: Divide both sides of the equation by 7 to solve for m. m = 117.6 / 7.
Step 6: Calculate the value of m. m = 16.8.
So, the correct answer is B. 16.8.
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