Question

A recipe calls for 1 ½ cups of flour, 2/3 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings. A) How many cups of flour are there per serving? show work (b)How many total cups of sugar (white and brown) are there per serving? Show your work. (c)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 1

How many cups of flour are there per serving? 1/4 cups of flour per serving. 
 
1 1/2 cups ( 12 oz) divided by 6 = 4

B) how many total cups of sugar(white and brown) are there per serving?  1/6 cups per serving
 (c) 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?
3/4 an extra cup for flour

Answer 2

A) How many cups of flour are there per serving? 

1 ½ cups of flour --------6 servings
?     cups of flour ------- 1 serving

      1 ½ 
------------ 
        6 

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

answer: 1/4 cups of flour per serving

B) how many total cups of sugar(white and brown) are there per serving?
total white and brown: 2/3 + 1/3 = 3/3 = 1 cups (combine)

1 cup of sugar (white and brown) --------6 servings
? cups of sugar (white and brown) ------ 1 serving

  1
-----  = 1/6
  6
answer: 1/6 cups of sugar (white and brown) per serving

 (c) 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?

3/2  cups of flour --------6 servings
? cups of flour -----------9 servings


  9 * 3/2             
-----------  
      6

= (13 1/2) / 6
= 2 1/4

2 1/4 ( 9 servings) - 1 1/2(6 servings) = 3/4 cups

answer: you need 3/4 more cups of flour