## A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount used in 1 cake by 1/2 cup. He then uses 4

Question

A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount used in 1 cake by 1/2 cup. He then uses 4 1/2 cups of sugar to bake 6 cakes.
How much sugar was originally in each cake recipe?

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4 months 2022-01-07T06:45:09+00:00 2 Answers 0 views 0

## Answers ( )

1. 1 1/4 cups

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There were 5/4 =1.25 cups of sugar originally in each cake recipe

Step-by-step explanation:

Proportions

Provided each element of a set is identical to the others, there are certain mathematical relations that can be used to estimate and extrapolate possible outcomes.

We know the baker uses 4 1/2 cups of sugar to bake 6 cakes. This gives us the amount of sugar used to bake each cake:

$$\displaystyle \frac{4+\frac{1}{2}}{6}=\frac{\frac{9}{2}}{6}=\frac{3}{4}$$

This happened after the reduction of sugar by 1/2 cup by cake, this means that before the reduction, each cake had

$$\displaystyle \frac{3}{4}+\frac{1}{2}=\frac{5}{4}$$

There were 5/4 =1.25 cups of sugar originally in each cake recipe