Respuesta :
[tex]5 \text { builders =} 3 \dfrac{1}{2} \text { hours }[/tex]
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Find 1 worker :
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[tex]1 \text { builders =} 3 \dfrac{1}{2} \times 5 \text { hours }[/tex]
[tex]1 \text { builders =} \dfrac{35}{2} \text { hours }[/tex]
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Find 2 workers :
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[tex]2 \text { builders =} \dfrac{35}{2} \div 2 \text { hours }[/tex]
[tex]2 \text { builders =} \dfrac{35}{4} \text { hours }[/tex]
[tex]2 \text { builders =} 8.75 \text { hours }[/tex]
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Find cost of 1 worker :
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Since they are paid hourly or part of an hour at £9.30.
One builder = £9.30 x 9 = £83.70
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Answer: Each worker will be paid £83.70.
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-------------------------------------------------------
Find 1 worker :
-------------------------------------------------------
[tex]1 \text { builders =} 3 \dfrac{1}{2} \times 5 \text { hours }[/tex]
[tex]1 \text { builders =} \dfrac{35}{2} \text { hours }[/tex]
-------------------------------------------------------
Find 2 workers :
-------------------------------------------------------
[tex]2 \text { builders =} \dfrac{35}{2} \div 2 \text { hours }[/tex]
[tex]2 \text { builders =} \dfrac{35}{4} \text { hours }[/tex]
[tex]2 \text { builders =} 8.75 \text { hours }[/tex]
-------------------------------------------------------
Find cost of 1 worker :
-------------------------------------------------------
Since they are paid hourly or part of an hour at £9.30.
One builder = £9.30 x 9 = £83.70
-------------------------------------------------------
Answer: Each worker will be paid £83.70.
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Each worker will be paid £83.7.
What is the unitary method?
A unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
On Monday, it took 5 builders 3 and a 1/2 hours to build a wall.
An identical wall needs to be built on Tuesday but only 2 builders are available.
Each builder is paid £9.30 for each hour or part of an hour they work.
The first step is to find the number of hours it takes for 5 builders;
The time is taken by 1 bulider;
[tex]\rm = 3\dfrac{1}{2}\times 5\\\\=\dfrac{3\times 2+1}{2}\times 5\\\\ =\dfrac{6+1}{2}\times 5\\\\ = \dfrac{7}{2}\times 5\\\\ = 3.5 \times 5\\\\= 17.5[/tex]
The time for 2 builders is given by;
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
Each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Hence, Each worker will be paid £83.7.
Learn more about the unitary method here;
https://brainly.com/question/16924313
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