Mathematics
Grade10
Easy

Question

The total weight of a carton box is 7 to the power of x over 3 end exponent and the weight of each box of chocolates is 7 to the power of x over 13 end exponent. Find the value of x if the carton box is filled with 49 boxes.

  1. 19
  2.  39 over 5
  3. 2
  4.  1 over 6

hintHint:

Total weight of the cartoon = number of chocolate boxes * weight of the one chocolate box

The correct answer is: 39 over 5


    Weight of each box of chocolates equals 7 to the power of x over 13 end exponent
    Weight of carton box equals 7 to the power of x over 3 end exponent
    Number of chocolate boxes = 49
    49 space cross times 7 to the power of x over 13 end exponent space equals 7 to the power of x over 13 end exponent
    So, 7 to the power of x over 3 end exponent over 7 to the power of x over 13 end exponent equals 49
    7 to the power of x over 3 minus x over 13 end exponent equals 7 squared
    7 to the power of fraction numerator 10 x over denominator 39 end fraction end exponent equals 7 squared
    fraction numerator 10 x over denominator 39 end fraction equals 2
    x equals 39 over 5

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