Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3 - Edexcel - GCSE Maths - Question 12 - 2018 - Paper 2
Question 12
Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.
Yellow paint is sold in 5 litre tins.
Each tin of ... show full transcript
Worked Solution & Example Answer:Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3 - Edexcel - GCSE Maths - Question 12 - 2018 - Paper 2
Step 1
Calculate the quantities of yellow and blue paint
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Answer
The total parts in the mixing ratio of yellow to blue is 2 + 3 = 5 parts. For 50 litres, each part is 50 / 5 = 10 litres.
Yellow paint: 2 parts = 2 * 10 = 20 litres
Blue paint: 3 parts = 3 * 10 = 30 litres
Step 2
Calculate the total cost of making paint (for 50 litres)
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Answer
For yellow paint:
Each tin contains 5 litres, therefore 20 litres will require 20 / 5 = 4 tins.
Cost for yellow paint = 4 * £26 = £104.
For blue paint:
Each tin contains 10 litres, therefore 30 litres will require 30 / 10 = 3 tins.
Cost for blue paint = 3 * £48 = £144.
Total cost of making 50 litres of green paint = £104 + £144 = £248.
Step 3
Calculate total profit on selling green paint
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Answer
Robert sells green paint in 10 litre tins; he produces 5 tins from 50 litres. He sells each tin for £66.96.
Total revenue from selling 5 tins = 5 * £66.96 = £334.80.
Profit = Total revenue - Total cost = £334.80 - £248 = £86.80.
Step 4
Work out the percentage profit
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