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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

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Question 12

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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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Answer

Percentage profit is calculated as follows:

[ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Cost}} \right) \times 100 ]\n[ \text{Percentage Profit} = \left( \frac{86.80}{248} \right) \times 100 \approx 34.96% ]

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