Question

2 A recipe uses 150 g butter, 500 g flour, 50 g su make 18 cakes. How much of each ingredient will be needed to make 72 cakes?​

Answer 1

600g Butter, 2000g Flour, 200g Sugar

Explanation:

First we divide the final number of cakes by the initial

`72 / 18 = 4`

Then we multiply each of the ingredients by 4

`150 * 4 = 600`

`500 * 4 = 2000`

`50 * 4 = 200`

Answer 2

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

The ratio for this problem is:

(Ingredients: number of cakes)

• 150, 500, 50: 18

Therefore, we need to know how many times 18 can fit into 72.

• 72 ÷ 18 = 4

Now, if we know that 18 can be multiplied by 4 to get 72, we need to multiply all of the ingredients by 4.

• 150 × 4 = 600 (butter)

• 500 × 4 = 2000 (flour)

• 50 × 4 = 200 (sugar)

Therefore, if the recipe stays proportional, we will need 600g butter, 200g flour and 200g sugar to make 72 cakes.