Answer :
Answer:
[tex]11\dfrac{1}{5}\text{ tonnes}[/tex]
Step-by-step explanation:
You want the number of tonnes of concrete that can be made from 4 4/5 tonnes of sand, if it takes 3/7 tonnes of sand per tonne of concrete.
Proportion
We can write the ratio of tonnes of concrete to tonnes of sand as a proportion:
[tex]\dfrac{\text{concrete}}{\text{sand}}=\dfrac{x}{4\frac{4}{5}}=\dfrac{1}{\frac{3}{7}}\quad\Rightarrow\quad x=\dfrac{24}{5}\times\dfrac{7}{3}=\dfrac{56}{5}=\boxed{11\frac{1}{5}}[/tex]
Mason can make 11 1/5 tonnes of concrete from the sand.
