The number of days, d, that it will take to build a house is given by
d = \frac{720}{n}
where n is the number of workers used each day - Edexcel - GCSE Maths - Question 9 - 2019 - Paper 2
Question 9
The number of days, d, that it will take to build a house is given by
d = \frac{720}{n}
where n is the number of workers used each day.
Ali's company will take 40... show full transcript
Worked Solution & Example Answer:The number of days, d, that it will take to build a house is given by
d = \frac{720}{n}
where n is the number of workers used each day - Edexcel - GCSE Maths - Question 9 - 2019 - Paper 2
Step 1
Calculate the number of workers for Ali's company
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Answer
To calculate the number of workers used by Ali's company, we use the formula:
d=n720
Substituting Ali's days into the equation:
40=n720
Rearranging gives:
n=40720=18
So, Ali's company uses 18 workers.
Step 2
Calculate the number of workers for Hayley's company
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Answer
Using the same formula for Hayley's company:
30=n720
Rearranging gives:
n=30720=24
Therefore, Hayley's company uses 24 workers.
Step 3
Determine how many more workers Hayley's company uses than Ali's
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Answer
Now, to find out how many more workers are used by Hayley's company compared to Ali's:
Difference=24−18=6
Hayley's company uses 6 more workers each day than Ali's company.
