it takes 4/7 tonnes of sand to make a tonne of concrete. Jacob has 4 4/5 tonnes of sand. How much concrete, in tonnes can Jacob make? Give me the answer in the simplist form of a fraction, please
To determine how much concrete Jacob can make, we need to find the fraction of his sand that can be used to make concrete.
Jacob has 4 4/5 tonnes of sand, which can also be expressed as an improper fraction as (4*5 + 4)/5 = 24/5 tonnes of sand.
Given that it takes 4/7 tonnes of sand to make 1 tonne of concrete, we can set up the following proportion:
4/7 tonnes of sand = 1 tonne of concrete
24/5 tonnes of sand = x tonnes of concrete (what Jacob can make)
To find x, we can cross-multiply and solve the equation:
(4/7) * x = (1) * (24/5)
Cross-multiplying gives:
4x = 24/5
To solve for x, we divide both sides by 4:
x = (24/5) / 4 = 24/5 * 1/4 = 24/20
Simplifying the fraction 24/20 gives the simplest form:
x = 6/5
Therefore, Jacob can make 6/5 tonnes of concrete using his 4 4/5 tonnes of sand.