This graph shows the cost of buying potatoes from a farm - OCR - GCSE Maths - Question 5 - 2018 - Paper 2
Question 5
This graph shows the cost of buying potatoes from a farm.
(a)(i) How much does it cost to buy 70kg of potatoes?
(a)(ii) What weight of potatoes can be bought for £... show full transcript
Worked Solution & Example Answer:This graph shows the cost of buying potatoes from a farm - OCR - GCSE Maths - Question 5 - 2018 - Paper 2
Step 1
How much does it cost to buy 70kg of potatoes?
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Answer
To find the cost of 70kg of potatoes, we look at the graph provided. The cost for 70kg corresponds to £28 on the vertical axis. Therefore, the cost is £28.
Step 2
What weight of potatoes can be bought for £38?
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Answer
To determine the weight of potatoes that can be bought for £38, we can use the graph again. The cost of £38 corresponds to 95kg on the horizontal axis. Thus, you can buy 95kg of potatoes for £38.
Step 3
How much will it cost to buy 180kg of potatoes from the farm?
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Answer
The cost per kilogram of potatoes can be calculated from the earlier question. Since 70kg costs £28, we calculate the cost per kg:
Cost per kg = ( \frac{28}{70} = 0.40 )
For 180kg, the total cost can be calculated as follows:
Total cost = ( 0.40 \times 180 = £72 )
Therefore, it will cost £72 to buy 180kg of potatoes.