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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?

$22 \frac{3}{4}$ kilograms
$17 \frac{3}{4}$ kilograms
$18 \frac{1}{4}$ kilograms
$22 \frac{1}{4}$

hint 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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