If A/B=5 and B/C=2, what is the value of A/B+C?

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To find the value of A/(B + C) given that A/B = 5 and B/C = 2, we can first express A and C in terms of B.

From the equation A/B = 5, we can express A as: A = 5B.

From the equation B/C = 2, we can express C in terms of B: C = B/2.

Now we can substitute these expressions for A and C into the formula A/(B + C):

First, we need to calculate B + C: B + C = B + (B/2) = (2B/2) + (B/2) = (3B/2).

Next, we can substitute A and B + C into the expression: A/(B + C) = (5B)/((3B)/2).

When we divide 5B by (3B/2), we can simplify this: = 5B * (2/3B) = (5 * 2)/(3) = 10/3.

Thus, the value of A/(B + C) is 10/3, confirming that the correct answer is indeed B.