$10\frac{1}{2}$ tonnes of sand are to be shared between a number of builders. One of them receives $\frac{4}{7}$ of the total and the remaining sand is shared by $3$ builders. How much does the fourth builder receive and how much san does each of the other $3$ builders receive?
Given: $( 10 \frac{1}{2}$ tonnes of sand are to be shared between a number of builders. One of them receives $\frac{4}{7}$ of the total and the remaining sand is shared by $3$ builders.
To do: To calculate that how much does the fourth builder receive and how much sand does each of the other $3$ builders receive?
Solution:
The number of tonnes of sand received by the fourth builder is $( \frac{4}{7})\times$ total tonnes of the sand
Amount of sand received by the fourth builder$=( \frac{4}{7})\times( \frac{21}{2})=6$ tonnes
Amount of tonnes of sand remaining= Total sand$-$sand given to the fourth builder
$=( \frac{21}{2})-6$
$=\frac{3}{2}$
Amount of sand received by each of the three builders$=( \frac{3}{2})\times( \frac{1}{3})=\frac{1}{2}$ tonnes of sand
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