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. Work out how much each builder will be paid for the work completed by Tuesday.

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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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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