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A delivery company has a total of 160 cars and vans - Edexcel - GCSE Maths - Question 6 - 2022 - Paper 1

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A delivery company has a total of 160 cars and vans. the number of cars : the number of vans = 3 : 7. Each car and each van uses electricity or diesel or petrol. ... show full transcript

Worked Solution & Example Answer:A delivery company has a total of 160 cars and vans - Edexcel - GCSE Maths - Question 6 - 2022 - Paper 1

Step 1

Calculate the number of cars and vans

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Answer

The ratio of cars to vans is given as 3:7. Let the number of cars be represented as 3x and the number of vans as 7x.

The total number of cars and vans is:

3x+7x=1603x + 7x = 160

Solving for x gives:

10x=160x=1610x = 160 \\ x = 16

Thus, the number of cars is:

3x=3×16=483x = 3 \times 16 = 48

And the number of vans is:

7x=7×16=1127x = 7 \times 16 = 112

Step 2

Determine the number of cars that use electricity

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Answer

We are told that 18\frac{1}{8} of the cars use electricity. Therefore, the number of cars using electricity is:

18×48=6\frac{1}{8} \times 48 = 6

Step 3

Determine the number of cars that use diesel

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Answer

It is given that 25% of the cars use diesel. Hence, the number of cars using diesel is:

0.25×48=120.25 \times 48 = 12

Step 4

Find the number of cars that use petrol

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Answer

To find the number of cars that use petrol, we first add the number of cars using electricity and diesel:

6+12=186 + 12 = 18

Then, we subtract this from the total number of cars:

4818=3048 - 18 = 30

Thus, the number of cars that use petrol is 30.

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