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100 gram packet with a correct comparison ISW 1 - OCR - GCSE Maths - Question 7 - 2017 - Paper 2
Question 7
100 gram packet with a correct comparison ISW 1. Find the cost for 1 gram, 25 grams, 100 grams or other amount suitable for comparison. 2. Attempt to find the cost o... 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
1. Find the cost for 1 gram, 25 grams, 100 grams or other amount suitable for comparison.
Answer
To determine the cost of the packet per gram, first assess the total cost of the 100 gram packet. If, for example, the packet costs £2.00, the cost per gram is calculated as follows:
ext{Cost per gram} = rac{ ext{Total Cost}}{ ext{Weight in grams}} = rac{£2.00}{100 ext{g}} = £0.02 ext{/g}Hence, the cost for 25 grams:
Step 2
2. Attempt to find the cost of the same amount of tea for each packet weight.
Answer
If there are other packet weights available (such as a 50 gram packet priced at £1.50), calculate the cost per gram:
ext{Cost per gram} = rac{£1.50}{50 ext{g}} = £0.03 ext{/g}Now, to find the cost for the same amount (25 grams):
Lastly, compare the costs:
- Cost of 25 grams from the 100 gram packet: £0.50
- Cost of 25 grams from the 50 gram packet: £0.75
The cheaper option is the 100 gram packet.