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This graph shows the cost of buying potatoes from a farm - OCR - GCSE Maths - Question 5 - 2018 - Paper 2

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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 determine the cost of 70kg of potatoes, we can refer to the graph. By tracing 70kg horizontally to the line and then vertically to the cost axis, we can see that it corresponds to £28.

Step 2

What weight of potatoes can be bought for £38?

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Answer

Using the graph, we can find the weight that corresponds to a cost of £38 by tracing horizontally from £38 until we intersect the line, and then vertically down to the weight axis. This indicates that £38 will buy 95kg of potatoes.

Step 3

How much will it cost to buy 180kg of potatoes from the farm?

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Answer

The cost per kilogram can be calculated using the graph data. Knowing that 70kg costs £28, we find the cost per kg:

extCostperkg=2870=£0.40 ext{Cost per kg} = \frac{28}{70} = £0.40

Now, to find the total cost for 180kg, we multiply:

extTotalCost=180×0.40=£72 ext{Total Cost} = 180 \times 0.40 = £72

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