Question

A recipe calls for 1 1/2 cups of flour, 3/4 cups of white sugar, and 1/3 cup of brown sugar the recipe makes 6 servings.

(a) how many total cups of flour are there per serving? show your work

(b) how many total cups of sugar (white and brown) are there per serving?show your work

(c) supposed you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?Show your work

Answer 1

(a) 0.25 cups of flour

(b) 0.18 cups of sugar

(c) 0.5 cups of flour

Explanation:

The recipe requires 3 amounts of ingredients to make 6 servings. The following is needed:

1. 1 1/2 cups of flour

2. 3/4 cups of white sugar

3. 1/3 cups of brown suger

a) The total cups of flour per serving can be determined by dividing the flour needed for 6 servings by 6:

`=1.5/6=0.25`

0.25 cups of flour is needed per serving

b) The total cups of brown and white sugar can be determined by divided both quantites by 6 servings.

For brown sugar = 0.75/6 = 0.125 cups of brown sugar

For white sugar = 0.333/6= 0.0555≈0.055 cups of white sugar

Total amount of sugar = brown sugar + white sugar = 0.125+0.055=0.18 cups of sugar

c) If we can make 9 servings we can determine the the percentage of more servings and the amount of flour for the modified recipe.

The percentage change of recipes = ((9-6)/9)*100=33.33%

Therefore the new amount of flour needed is:

`1.5*0.3333+1.5=2`

Therefore we need 2-1.5=0.5 cups more flour than the original recipe