Question

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 6000g of potato cakes.
Cheese costs £2.25 for 175 g.
Work out the cost of the cheese needed to make 6000g of potato cakes

Answer 1

A ratio shows us the number of times a number contains another number. The cost of cheese that is needed to make 6000g of potato cake is £12.86.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the ratio of the ingredients is,

weight of potato: weight of cheese: weight of onion = 9: 2:1

Let the ingredients be mixed in the quantity 9x, 2x, and 1x, for 6000g of potato cake. Therefore, the value of x can be written as,

$9x+2x+1x = 6000\\\\12x = 6000\\\\x = 500$

Hence, the value of x is 500.

Thus, the amount of cheese that will be needed is 2x,

$2x = 2 \times (500) = 1000g$

Given that the cost of 175g of cheese is  £2.25, therefore, the cost of 1g of cheese will be,

$\text{Cost of 1g cheese} = \£\dfrac{ 2.25}{175}$

Now, the cost of 1000g of cheese will be,

$\text{Cost of 1000g cheese} = 1000\times \£\dfrac{ 2.25}{175} = \£12.86$

Hence, the cost of cheese that is needed to make 6000g of potato cake is £12.86.

Learn more about Ratios:

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