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Grapes cost £2 per kilogram - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

Question 12

Grapes cost £2 per kilogram. Calculate the cost of 380g of grapes. Ruth buys 19 identical tickets for £280.25. Estimate the cost of one ticket. Show your working.

Worked Solution & Example Answer:Grapes cost £2 per kilogram - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

Step 1

Calculate the cost of 380g of grapes.

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Answer

To find the cost of 380g of grapes, we first need to convert grams to kilograms. Since there are 1000 grams in a kilogram:

$380g = \frac{380}{1000}kg = 0.38kg$

Next, we multiply the weight in kilograms by the cost per kilogram:

$\text{Cost} = 0.38kg \times £2/kg = £0.76$

Therefore, the cost of 380g of grapes is £0.76.

Step 2

Estimate the cost of one ticket.

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Answer

To estimate the cost of one ticket that Ruth buys for £280.25 with 19 tickets, we divide the total cost by the number of tickets:

$\text{Cost per ticket} = \frac{£280.25}{19}$

To simplify the calculation, we can round £280.25 to £280 for easier division:

$\frac{£280}{19} ≈ £14.74$

Thus, the estimated cost of one ticket is approximately £14.74.

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