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Patrick worked for a weekend washing cars in a garage - Junior Cycle Mathematics - Question 3 - 2018

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Patrick worked for a weekend washing cars in a garage. (a) In total, 35 cars were washed in the garage that weekend. Patrick washed 14 of them. Work out the percent... show full transcript

Worked Solution & Example Answer:Patrick worked for a weekend washing cars in a garage - Junior Cycle Mathematics - Question 3 - 2018

Step 1

(a) Work out the percentage of the cars that Patrick washed.

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Answer

To find the percentage of cars Patrick washed, use the formula:

ext{Percentage} = rac{ ext{Part}}{ ext{Whole}} imes 100

In this case, the part is 14 (the cars washed by Patrick) and the whole is 35 (the total cars washed).

Substituting in:

ext{Percentage} = rac{14}{35} imes 100 = 40 ext{\%}

Thus, Patrick washed 40% of the cars.

Step 2

(b) Work out how many US Dollars ($) Patrick got for his £200 Sterling.

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Answer

First, convert £200 to Euros using the exchange rate:

1=£0.88€1 = £0.88

To find euros, rearrange the formula and calculate:

€ = rac{£200}{£0.88} \\ = €227.27

Now, convert Euros to US Dollars:

€1 = $1.18

Thus, for $:

$ = €227.27 imes 1.18 \\ = $268.00 ext{ (to the nearest cent)}

So, Patrick received $268.00.

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