Natalie makes potato cakes in a restaurant. She mixes potato, cheese and onion so that weight of potato:weight of cheese: weight of onion = 9:2:1 Natalie needs to make 600g of potato cakes. Cheese costs £2.25 for 175g. Work out the cost of the cheese needed to make 6000g of potato cakes.

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Natalie makes potato cakes in a restaurant - Edexcel - GCSE Maths - Question 3 - 2021 - Paper 3

Question 3

Natalie makes potato cakes in a restaurant. She mixes potato, cheese and onion so that weight of potato:weight of cheese: weight of onion = 9:2:1 Natalie needs to ma... show full transcript

Worked Solution & Example Answer:Natalie makes potato cakes in a restaurant - Edexcel - GCSE Maths - Question 3 - 2021 - Paper 3

Step 1

Find the total parts in the mixture

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Answer

The mixture ratio is given as 9:2:1. To find the total parts, add the parts together:

$9 + 2 + 1 = 12$

Step 2

Calculate the amount of cheese needed for 6000g of potato cakes

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Answer

First we determine the weight of potato in the total 6000g:

Weight of potato = ( \frac{9}{12} \times 6000g = 4500g )

Now, to find the amount of cheese, calculate:

Cheese weight = ( \frac{2}{12} \times 6000g = 1000g )

Step 3

Calculate how many units of cheese are needed

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Answer

Next, since cheese is sold per 175g, find how many 175g portions are in 1000g:

Number of portions = ( \frac{1000g}{175g} \approx 5.71 )

This means approximately 6 portions of cheese are needed (rounding up).

Step 4

Calculate the total cost of the cheese

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Answer

The cost for 175g of cheese is £2.25. Therefore, for 6 portions:

Total cost = ( 6 \times 2.25 = £13.50 )

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