Mathematics
Grade6
Easy

Question

A factory makes 97.5 kilograms of pumpkin pie filling in 7 fraction numerator 1 over denominator 2 end fraction hours. How many kilograms of pie filling will the factory make in 5 fraction numerator 3 over denominator 4 end fraction hours?

  1. 22 fraction numerator 3 over denominator 4 end fraction kilograms    
  2. 17 fraction numerator 3 over denominator 4 end fraction kilograms    
  3. 18 fraction numerator 1 over denominator 4 end fraction kilograms    
  4. 22 fraction numerator 1 over denominator 4 end fraction    

Hint:

The unitary method is a fundamental concept of Mathematics and makes it convenient to solve various sums. This method generally involves finding the value of a unit in the given terms, using which the value of the given quantity of units can be calculated.

The correct answer is: 18 fraction numerator 1 over denominator 4 end fraction kilograms


    In one hour, a factory can fill 97.5 divided by 7 fraction numerator 1 over denominator 2 end fraction kilograms.
    equals 97.5 divided by fraction numerator 15 over denominator 2 end fraction equals 97.5 cross times fraction numerator 2 over denominator 15 end fraction equals 13 kilograms.
    In 5 fraction numerator 3 over denominator 4 end fraction hours, the 13 cross times 5 fraction numerator 3 over denominator 4 end fraction kilograms.
    equals 13 cross times fraction numerator 23 over denominator 4 end fraction equals 18 fraction numerator 1 over denominator 4 end fraction kilograms.

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