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