MATH SOLVE

4 months ago

Q:
# A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings.How many cups of flour are there per serving? Show your work.---------------------------------------------------------------------------------------------------How many total cups of sugar (white and brown) are there per serving? Show your work.---------------------------------------------------------------------------------------------------Suppose 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 all 3 questions.

Accepted Solution

A:

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

How many cups of flour are there per serving? Show your work.

1 1/2 = 3/2

3/2 x 1/6 = 3/12 = 1/4

answer 1/4 cup of flour per serving

How many total cups of sugar (white and brown) are there per serving? Show your work.

sugar = 3/4 +1/3 = 9/12 + 4/12 = 13/12 (6 servings)

1 serving = 13/12 x 1/6 = 13/72

answer

13/72 sugar (white and brown) per serving

Suppose you modify the recipe so that it makes 9 servings.

1/4 cup of flour per serving

so

9 x 1/4 = 9/4 = 2 1/4

answer

2 1/4 cups of flour for 9 servings

How many cups of flour are there per serving? Show your work.

1 1/2 = 3/2

3/2 x 1/6 = 3/12 = 1/4

answer 1/4 cup of flour per serving

How many total cups of sugar (white and brown) are there per serving? Show your work.

sugar = 3/4 +1/3 = 9/12 + 4/12 = 13/12 (6 servings)

1 serving = 13/12 x 1/6 = 13/72

answer

13/72 sugar (white and brown) per serving

Suppose you modify the recipe so that it makes 9 servings.

1/4 cup of flour per serving

so

9 x 1/4 = 9/4 = 2 1/4

answer

2 1/4 cups of flour for 9 servings