A water company charged the following in 2017. £2.00 for each m³ of water used plus a fixed charge of £45 In 2017 Jenny used 110 m³ of water. For the 12 months of 2017 she paid £20 per month to the water company. How much more money does Jenny need to pay to the water company?

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A water company charged the following in 2017 - OCR - GCSE Maths - Question 8 - 2018 - Paper 2

Question 8

A water company charged the following in 2017. £2.00 for each m³ of water used plus a fixed charge of £45 In 2017 Jenny used 110 m³ of water. For the 12 months of ... show full transcript

Worked Solution & Example Answer:A water company charged the following in 2017 - OCR - GCSE Maths - Question 8 - 2018 - Paper 2

Step 1

Calculate the total water charge

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Answer

The total charge for the water used can be calculated as follows:

Jenny used 110 m³ of water.
The cost per m³ of water is £2.00.

So, the total charge for water used is:

110 ext{ m}^3 imes £2.00 = £220

Step 2

Add the fixed charge

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Next, we add the fixed charge of £45 to the calculated water charge:

Total ext{ charge} = £220 + £45 = £265

Step 3

Calculate the total amount Jenny has already paid

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Answer

The total amount Jenny paid to the water company over the year:

She paid £20 per month for 12 months:

Total ext{ paid} = £20 imes 12 = £240

Step 4

Determine how much more Jenny needs to pay

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Answer

Finally, we can find out how much more Jenny needs to pay:

Additional ext{ payment} = Total ext{ charge} - Total ext{ paid} = £265 - £240 = £25

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