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General
Easy

Question

If 5 over 7 of a number exceeds its 3 over 5 by 8 , find the number ?

The correct answer is: Frame the equation properly and solve


    Complete step by step solution:
     Let the number = x
    On framing the equation, we get 5 over 7 x equals 3 over 5 x plus 8
    not stretchy rightwards double arrow 5 over 7 x minus 3 over 5 x equals 8
    On taking lcm of 7 and 5, we have lcm as 35.
    not stretchy rightwards double arrow fraction numerator 5 cross times 5 over denominator 7 cross times 5 end fraction x minus fraction numerator 3 cross times 7 over denominator 5 cross times 7 end fraction x equals 8
    not stretchy rightwards double arrow fraction numerator 25 x over denominator 35 end fraction minus fraction numerator 21 x over denominator 35 end fraction equals 8
    not stretchy rightwards double arrow fraction numerator 4 x over denominator 35 end fraction equals 8
    not stretchy rightwards double arrow 4 x equals 8 cross times 35
    not stretchy rightwards double arrow 4 x equals 280
    On dividing both the sides by 4, we get
    x equals 280 over 4
    not stretchy rightwards double arrow x equals 70
    Hence the number x = 70

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    I'd go with Kimberly because he has a higher percentage on all shots than the other two players.

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