Question

    If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

    A 9/5 Correct Answer Incorrect Answer
    B 11/7 Correct Answer Incorrect Answer
    C 7/11 Correct Answer Incorrect Answer
    D 7/4 Correct Answer Incorrect Answer

    Solution

    (a + b) / c = 6/5 5a + 5b = 6c (b + c) / a = 9/2 2b+2c=9a 9a-2b=2c 27a-6b=6c 5a+5b=6c 27a-6b=5a+5b 22a=11b b=2a 4a+2c=9a 2c=5a c=(5/2)a (a + c) / b =((a+(5/2)a))/2a =7a/4a =7/4

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