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A delivery company has a total of 160 cars and vans - Edexcel - GCSE Maths - Question 4 - 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 4 - 2022 - Paper 1

Step 1

Determine the number of cars and vans

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Answer

Given the ratio of cars to vans is 3:7, the total parts are:

  • Cars: 3 parts
  • Vans: 7 parts

Therefore, for a total of 10 parts, we can find the number of each:

  • Number of cars = ( \frac{3}{10} \times 160 = 48 )
  • Number of vans = ( \frac{7}{10} \times 160 = 112 )

Step 2

Calculate the number of cars using electricity

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Answer

1/8 of the cars use electricity. Thus, the number of cars that use electricity is:

  • ( \frac{1}{8} \times 48 = 6 )

Step 3

Calculate the number of cars using diesel

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Answer

25% of the cars use diesel. Thus, the number of cars that use diesel is:

  • ( 0.25 \times 48 = 12 )

Step 4

Determine the number of cars using petrol

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Answer

Now we can find the remaining cars that use petrol:

  • Total cars = 48
  • Cars using electricity = 6
  • Cars using diesel = 12
  • Cars using petrol = Total cars - (Cars using electricity + Cars using diesel)

This results in:

  • Cars using petrol = ( 48 - (6 + 12) = 30 )

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