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Answer :
Final answer:
Harriet can make 8 2/5 tonnes of concrete from 3 3/5 tonnes of sand, using the provided ratio of 3/7 tonnes of sand for each tonne of concrete.
Explanation:
To calculate how much concrete Harriet can make from 3 3/5 tonnes of sand, we use the given ratio which is 3/7 tonnes of sand for each tonne of concrete. First, we convert Harriet's sand quantity to an improper fraction, which is 18/5 tonnes. Next, we set up a proportion to find out how many tonnes of concrete can be made.
We have 3/7 tonnes of sand = 1 tonne of concrete, so with 18/5 tonnes of sand we can calculate:
(3/7) tonnes of sand : 1 tonne of concrete = (18/5) tonnes of sand : x tonnes of concrete
Solving for x gives us:
x = (18/5) * (7/3) tonnes of concrete
x = (18*7)/(5*3) tonnes of concrete
x = (126/15) tonnes of concrete
x = 8 2/5 or 8.4 tonnes of concrete.
Harriet can make 8 2/5 tonnes of concrete from her sand.
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