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.

Photo AI

Natalie makes potato cakes in a restaurant - Edexcel - GCSE Maths - Question 4 - 2021 - Paper 3

Question 4

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 ... show full transcript

Worked Solution & Example Answer:Natalie makes potato cakes in a restaurant - Edexcel - GCSE Maths - Question 4 - 2021 - Paper 3

Step 1

Calculate the Total Parts

96%

114 rated

Answer

First, determine the total parts in the ratio 9:2:1. This equals:

9 + 2 + 1 = 12

Step 2

Calculate the Weight of Each Ingredient

99%

104 rated

Answer

Next, we need to find out how much cheese is required for 600g of potato cakes.

Given that there are 2 parts of cheese out of a total of 12 parts, the weight of cheese can be calculated as:

ext{Weight of cheese} = rac{2}{12} imes 600g = 100g

Step 3

Determine the Number of Portions of Cheese

96%

101 rated

Answer

Now, find out how many 175g portions of cheese are needed for 100g:

ext{Number of portions} = rac{100g}{175g} ext{ (per portion)} = rac{100}{175} ext{ portions} = rac{4}{7} ext{ portions}

Step 4

Calculate the Total Cost of Cheese

98%

120 rated

Answer

Each portion of cheese costs £2.25, therefore:

ext{Total cost} = rac{4}{7} imes 2.25 = 1.2857 ext{ (approximately £1.29)}

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;