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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 11 - 2018 - Paper 2
Question 11
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 11 - 2018 - Paper 2
Step 1
Use of ratio 2:3 to find overall ratios of litres
Answer
To find how many litres of yellow and blue paint Robert used, we first need to understand the ratio of yellow to blue paint, which is 2:3. This means that for every 5 parts of paint, 2 parts are yellow and 3 parts are blue. Thus, to calculate the volumes:
- Total parts = 2 + 3 = 5 parts.
- Yellow paint = [ \frac{2}{5} \times 50 = 20 \text{ litres} ]
- Blue paint = [ \frac{3}{5} \times 50 = 30 \text{ litres} ]
Step 2
Calculate total cost of making paint (for 50 litres)
Answer
Next, we compute the costs associated with the paint:
-
Yellow paint:
- Tins required = ( \frac{20}{5} = 4 \text{ tins} )
- Cost = ( 4 \text{ tins} \times £26 = £104 )
-
Blue paint:
- Tins required = ( \frac{30}{10} = 3 \text{ tins} )
- Cost = ( 3 \text{ tins} \times £48 = £144 )
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Total cost of making 50 litres = £104 + £144 = £248.
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