Question

10 1/2 tonnes of sand are to be shared between a numder of builders. One of them recieves 4/5 of the tiotal sand is shared by 3 builders. How much does the fourth builders receive and how much sand does each of thr other 3 builders receive

Answer 1

Answer:

Step-by-step explanation:

10.5×4/5=8.4

10-8.4=2.1/3=7/10

Answer 2

Answer:  $2\dfrac{1}{10}\ tonnes$ received by fourth builder and $\dfrac{4}{15}\ tonnes$ received by other 3 builders.

Step-by-step explanation:

Since we have given that

Number of tonnes of sand are to be shared between a number of builders = $10\dfrac{1}{2}=\dfrac{21}{2}$

Number of builders = 4

Since we have mentioned that one of them receives $\dfrac{4}{5}$ of the total sand is shared by 3 builders.

So,

$\dfrac{21}{2}\times \dfrac{4}{5}\\\\=\dfrac{42}{5}$

So, remaining number of tonnes are received by fourth builder which is given by

$\dfrac{21}{2}-\dfrac{42}{5}\\\\=\dfrac{105-84}{10}\\\\=\dfrac{21}{10}\\\\=2\dfrac{1}{10}\ tonnes$

And quantity of sand which is shared by 3 of the builder is given by

$\dfrac{4}{5}\times \dfrac{1}{3}\\\\=\dfrac{4}{15}$

Hence, $2\dfrac{1}{10}\ tonnes$ received by fourth builder and $\dfrac{4}{15}\ tonnes$ received by other 3 builders.