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It takes \(\frac{3}{7}\) tonnes of sand to make a tonne of concrete. Mason has \(4 \frac{4}{5}\) tonnes of sand. How much concrete can he make?

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.

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