Question

recipe for a cake to serve 6 people is as follows: 400 butter 320 sugar 1 egg, separated 800 g baking flour pinch of salt 200 g raisins 60 g mixed fruits (a) IF 800 grams of butter is used, how much sugar is needed? (b) If 950 grams of sugar is used, how much mixed fruit is needed (c) If 300 grams of raisins is used, how butter is needed? (2) If 400 grams of baking flour is used, how much sugar is needed The trick with ratios is always to multiply or divide the numbers by the​ ?

Answer 1

To solve for the missing ingredient, set up proportions using the given ratios. Multiply or divide the numbers by the same value.

Step-by-step explanation:

To solve for the missing ingredient, we can set up a proportion using the given ratios. Let's follow these steps:

1. Calculate the ratio of butter to sugar in the original recipe: 400g butter : 320g sugar. This simplifies to 10 : 8, or 5 : 4.
2. Since we know the amount of butter (800g) in option (a), we can set up the proportion: 5g butter : 4g sugar = 800g butter : x (unknown sugar).
3. Cross-multiply and solve for x. 5x = 3200, x = 640.
4. Therefore, if 800g of butter is used, 640g of sugar is needed.

To calculate the required amount of mixed fruit, we can set up another proportion using the given ratios. Follow the same steps as above to find that if 950g of sugar is used, 118.75g of mixed fruit is needed.

The trick with ratios is to multiply or divide the numbers by the same value to maintain their proportional relationship.