Mathematics
Grade6
Easy

Question

In a juice shop, if a man prepared 8 fraction numerator 1 over denominator 3 end fraction liters of juice from 12 fraction numerator 1 over denominator 2 end fraction kgs of grapes, then how many liters of juice can be prepared from 7 fraction numerator 1 over denominator 2 end fraction kgs of grapes?

  1. 3 liters    
  2. 4 liters    
  3. 5 liters    
  4. 7 liters    

hintHint:

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: 5 liters


    The quantity of juice prepared from 1 kg grapes = 8 fraction numerator 1 over denominator 3 end fraction divided by 12 fraction numerator 1 over denominator 2 end fraction
    = fraction numerator 25 over denominator 3 end fraction cross times fraction numerator 2 over denominator 25 end fraction equals fraction numerator 2 over denominator 3 end fraction liters
    The quantity of juice can be prepared from 7 fraction numerator 1 over denominator 2 end fraction kgs of grapes = 7 fraction numerator 1 over denominator 2 end fraction cross times fraction numerator 2 over denominator 3 end fraction
    equals fraction numerator 15 over denominator 2 end fraction cross times fraction numerator 2 over denominator 3 end fraction equals 5 liters of juice.

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