4 (a) A recipe for biscuits says Multiply the number of biscuits by 6.25 to find the number of grams of butter needed. Darcie uses 125g of butter. How many biscuits does Darcie make? (b) The estimated cost of driving - an electric car is 68 pence per mile - a petrol car is 77 pence per mile. Charlie expects to drive 12000 miles next year. Use this information to work out how much money Charlie can expect to save next year if driving an electric car instead of a petrol car.

GCSE OCR Maths Decimals: 4 (a) A recipe for biscuits says

4 (a) A recipe for biscuits says Multiply the number of biscuits by 6.25 to find the number of grams of butter needed - OCR - GCSE Maths - Question 4 - 2023 - Paper 3

Question 4

4 (a) A recipe for biscuits says Multiply the number of biscuits by 6.25 to find the number of grams of butter needed. Darcie uses 125g of butter. How many biscuits ... show full transcript

Worked Solution & Example Answer:4 (a) A recipe for biscuits says Multiply the number of biscuits by 6.25 to find the number of grams of butter needed - OCR - GCSE Maths - Question 4 - 2023 - Paper 3

Step 1

Multiply the number of biscuits by 6.25 to find total grams of butter

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Answer

To determine how many biscuits Darcie can make, we first set up the equation based on the butter used:

Let the number of biscuits be represented as $x$ . According to the recipe, the amount of butter needed is given by the equation: $ext{Butter needed} = 6.25x$

We know that Darcie uses 125 grams of butter, therefore: $6.25x = 125$

Now, solve for $x$ : $x = \frac{125}{6.25} = 20$

Thus, Darcie can make 20 biscuits.

Step 2

Use the estimated cost to work out potential savings

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Answer

To calculate how much money Charlie can save by using an electric car instead of a petrol car, we first determine the costs for each type of car:

Cost of driving an electric car:
- Cost per mile: 68 pence
- Total cost for 12,000 miles: $\text{Cost}_{\text{electric}} = 68 \text{ pence/mile} \times 12000 \text{ miles} = 816000 \text{ pence} = \frac{816000}{100} = £816$
Cost of driving a petrol car:
- Cost per mile: 77 pence
- Total cost for 12,000 miles: $\text{Cost}_{\text{petrol}} = 77 \text{ pence/mile} \times 12000 \text{ miles} = 924000 \text{ pence} = \frac{924000}{100} = £924$
Savings calculation: $\text{Savging} = \text{Cost}_{\text{petrol}} - \text{Cost}_{\text{electric}} = £924 - £816 = £108$

Therefore, Charlie can expect to save £108 next year by driving an electric car instead of a petrol car.

4 (a) A recipe for biscuits says Multiply the number of biscuits by 6.25 to find the number of grams of butter needed - OCR - GCSE Maths - Question 4 - 2023 - Paper 3

Worked Solution & Example Answer:4 (a) A recipe for biscuits says Multiply the number of biscuits by 6.25 to find the number of grams of butter needed - OCR - GCSE Maths - Question 4 - 2023 - Paper 3

Multiply the number of biscuits by 6.25 to find total grams of butter

Use the estimated cost to work out potential savings

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