Question

12/09 - similarity word problems - l
jake is making scones. here is a list of ingredients to make 8 scones.
200g flour 30g sugar 50g butter
how much of each ingredient would be needed to make 2 cones?
□g flour □g sugar □g butter
how much of each ingredient would be needed to make 16 cones?
□g flour □g sugar □g butter

Explanation:

For making 2 scones:

Step1: Find the ratio of 2 to 8

The ratio of the number of scones we want to make (2) to the number of scones the recipe is for (8) is $\frac{2}{8}=\frac{1}{4}$.

Step2: Calculate flour for 2 scones

Multiply the amount of flour for 8 scones (200g) by the ratio: $200\times\frac{1}{4} = 50$g.

Step3: Calculate sugar for 2 scones

Multiply the amount of sugar for 8 scones (30g) by the ratio: $30\times\frac{1}{4}=7.5$g.

Step4: Calculate butter for 2 scones

Multiply the amount of butter for 8 scones (50g) by the ratio: $50\times\frac{1}{4} = 12.5$g.

For making 16 scones:

Step1: Find the ratio of 16 to 8

The ratio of the number of scones we want to make (16) to the number of scones the recipe is for (8) is $\frac{16}{8}=2$.

Step2: Calculate flour for 16 scones

Multiply the amount of flour for 8 scones (200g) by the ratio: $200\times2 = 400$g.

Step3: Calculate sugar for 16 scones

Multiply the amount of sugar for 8 scones (30g) by the ratio: $30\times2=60$g.

Step4: Calculate butter for 16 scones

Multiply the amount of butter for 8 scones (50g) by the ratio: $50\times2 = 100$g.

Answer:

For 2 scones:
50g flour, 7.5g sugar, 12.5g butter

For 16 scones:
400g flour, 60g sugar, 100g butter