John compiled a table showing the amount of water used in his own household over the course of a week - Leaving Cert Mathematics - Question c - 2016
Question c
John compiled a table showing the amount of water used in his own household over the course of a week. He recorded the number of litres required for each activity an... show full transcript
Worked Solution & Example Answer:John compiled a table showing the amount of water used in his own household over the course of a week - Leaving Cert Mathematics - Question c - 2016
Step 1
Complete the table to show the number of litres used for the various activities and the total number of litres used in the week.
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Answer
To find the number of litres used for each activity, multiply the water required per activity by the frequency.
One Bath: 80 litres × 3 = 240 litres
One Shower: 125 litres × 20 = 2500 litres
Brushing Teeth with Tap Running: 6 litres × 32 = 192 litres
One WC Flush: 6 litres × 60 = 360 litres
One Use of Washing Machine: 45 litres × 8 = 360 litres
One Use of Dishwasher: 20 litres × 7 = 140 litres
Washing One Car with a Bucket: 10 litres × 1 = 10 litres
If water were charged at £1.85 per 1000 litres, find what John’s household would pay for the water used in one year if the household uses the same amount of water each week.
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Answer
To calculate the annual cost of water, first find the weekly cost:
Total water usage per week = 3937 litres
Cost per litre = £1.85 / 1000 = £0.00185
Weekly cost = 3937 × £0.00185 = £7.27145
Now, multiply by the number of weeks in a year:
Annual cost = £7.27145 × 52 = £378.74.
Step 3
Find John’s total bill for this water if VAT were to be included at a rate of 13.5%.
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