a recipe for 12 waffles calls for 1 1/2 cups of milk 2 1/4 cups of flour in 1 1/3 cups of other ingredients.A. what is the total number of cups of ingredients needed for 12 waffles? B. what is the total number of cups of ingredients needed for a 36 waffles? C. if the milk is reduced to 1 cup in the amount of other ingredients ( not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe? justify your thinking. D. if a baker has a 5lb bag of flour, which is approximately 17 cups of flour, how many complete recipes for a 12 waffles can the baker make? justify your thinking

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Answer:

A. 61/12 cups.

B. 61/4 cups

C. Since the increase in other ingredients is greater then the decrease, the total amount of ingredients increase.

D. 7 full recipes

Step-by-step explanation:

A. what is the total number of cups of ingredients needed for 12 waffles?

We add the cups for each ingredient. So

[tex]1\frac{1}{2}+2\frac{1}{4}+1\frac{1}{3}=\frac{2\ast1+1}{2}+\frac{2\ast4+1}{4}+\frac{3\ast1+1}{3}[/tex][tex]\frac{2\ast1+1}{2}+\frac{2\ast4+1}{4}+\frac{3\ast1+1}{3}=\frac{3}{2}+\frac{9}{4}+\frac{4}{3}=\frac{3\ast6+9\ast3+4\ast4_{}}{12}[/tex][tex]\frac{3\ast6+9\ast3+4\ast4_{}}{12}=\frac{18+27+16}{12}=\frac{61}{12}[/tex]

61/12 cups.

B. what is the total number of cups of ingredients needed for a 36 waffles?

36/12 = 3. So

3*(61/12) = 61/4

C. if the milk is reduced to 1 cup in the amount of other ingredients ( not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe?

Milk is reduced by 1/2(1/2 - 1);

Other ingredients are increased by 2/3(2 - 1 and 1/3).

Since the increase in other ingredients is greater then the decrease, the total amount of ingredients increase.

D. if a baker has a 5lb bag of flour, which is approximately 17 cups of flour, how many complete recipes for a 12 waffles can the baker make? justify your thinking

For one recipe: 9/4 cups

For 17 cups, x recipes

1 recipe - 9/4 cups

x recipes - 17 cups

[tex]\frac{9}{4}x=17[/tex][tex]x=\frac{17\ast4}{9}=\frac{68}{9}=7\ldots[/tex]

7 full recipes

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