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

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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

To calculate the total amount Jenny needs to pay for the water, we first determine the cost of the water used:

Number of cubic meters of water used: 110 m³ Cost per cubic meter: £2.00

Thus, the total water charge is calculated as follows:

[ ext{Total Water Charge} = 110 ext{ m}^3 \times £2.00 = £220 ]

Step 2

Calculate the Total Amount Paid

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Next, we calculate the total payment Jenny made for the year:

Monthly payment: £20 Number of months: 12

Total amount paid:

[ ext{Total Amount Paid} = £20 \times 12 = £240 ]

Step 3

Determine the Additional Amount Owed

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Finally, we need to find out how much more money Jenny needs to pay to the water company. We add the fixed charge to the total water charge:

Fixed charge: £45 Total water charge: £220

Total amount owed:

[ ext{Total Amount Owed} = £220 + £45 = £265 ]

Now, we find the difference between the total amount owed and the amount already paid:

[ ext{Additional Amount Owed} = £265 - £240 = £25 ]

Thus, Jenny needs to pay an additional £25.

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