Question

As you wake up to get your day started, you decide to make muffins for breakfast. The recipe you are

using makes 2 dozen muffins and calls for 3 cups of flour and 1 cup of sugar. You decide to only make
18 muffins. How many cups of flour and sugar will you need for your recipe?
The above problem can easily be solved using a proportion. Show your work

Answer 1

4 cups of flour is needed and 4/3 cups of sugar

Explanation:

Given

2 dozen Muffins; 3 cups of flour and 1 cup of sugar

Required

Determine the cups of flour if 18 muffins is used

First, we have to determine the proportion of the number of muffins used previously and now;

Represent this with p;

`p = (2\ dozen)/(18)`

`p = (2 * 12)/(18)`

`p = (24)/(18)`

`p = (4)/(3)`

Multiply this to the previous cups of flours and sugars;

Cups of flour = p * previous cups of flour

`Cups\ of\ flour = (4)/(3) * 3`

`Cups\ of\ flour = 4`

Cups of Sugar = p * previous cups of sugar

`Cups\ of\ sugar= (4)/(3) * 1`

`Cups\ of\ sugar= (4)/(3)`

Hence, 4 cups of flour is needed and 4/3 cups of sugar