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100 gram packet with a correct comparison ISW 1 - OCR - GCSE Maths - Question 7 - 2017 - Paper 2

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100 gram packet with a correct comparison ISW 1. Find the cost of 1 gram, 25 grams, 100 grams or other amount suitable for comparison. 2. Attempt to find the cost ... show full transcript

Worked Solution & Example Answer:100 gram packet with a correct comparison ISW 1 - OCR - GCSE Maths - Question 7 - 2017 - Paper 2

Step 1

Find the cost of 1 gram, 25 grams, 100 grams or other amount suitable for comparison

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Answer

To find the cost adequately for 100 grams, we first determine the price per gram by dividing the total cost by 100. For instance, if the price of a 100-gram packet is £2.10, the cost per gram would be calculated as follows:

Cost per gram=2.10100=0.021 pounds (or 2.1 pence)\text{Cost per gram} = \frac{2.10}{100} = 0.021 \text{ pounds (or 2.1 pence)}

Next, we may want to find the cost for 25 grams by multiplying the cost per gram by 25:

Cost of 25 grams=0.021×25=0.525 pounds (or 52.5 pence)\text{Cost of 25 grams} = 0.021 \times 25 = 0.525 \text{ pounds (or 52.5 pence)}

Step 2

Attempt to find the cost of the same amount for each packet weight (e.g., 25 grams or 100 grams)

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Answer

For each packet weight, we would perform a similar calculation. For example, if another packet costs £1.60 for 100 grams, we calculate:

Cost per gram=1.60100=0.016 pounds (or 1.6 pence)\text{Cost per gram} = \frac{1.60}{100} = 0.016 \text{ pounds (or 1.6 pence)}

This allows for easy comparison between different packet sizes. We would continue this for any other weights, ensuring coherence in the pricing comparison.

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