Mathematics, 15.10.2020 07:01 ramos1997

A recipe for 12 waffles calls for 112 cups of milk, 214 cups of flour, and 113 cups of other ingredients. 4 pts each/16 pts total 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 36 waffles? C... If the milk is reduced to 1 cup and 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 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...

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Answers

The total number of cups of ingredients needed for 12 waffles $\frac{61}{12}$ .The total number of cups of ingredients needed for 36 waffles $10 \frac{1}{6}$ .

Given

Total no. of waffles required = 12

No. of cups of milk = $1\frac{1}{2}$

No. of cups of flour = $2\frac{1}{4}$

No. of cups of other ingredients = $1\frac{1}{3}$

The total number of cups of ingredients needed for 12 waffles =

No. of cups of milk + no. of cups of flour + no. of cup of other ingredients

= $( 1+ 2+ 1 ) ( \frac{1}{2} + \frac{1}{4} + \frac{1}{3} )$

= $(4) + ( \frac{6+3+4}{12} )\\\\= (4) +(\frac{13}{12} \\\\= \frac{48+13}{12} \\\\= \frac{61}{12}$

The total number of cups of ingredients needed for 12 waffles is $\frac{61}{12}$ .

The total number of cups of ingredients needed for 36 waffles

= The total number of cups of ingredients needed for 36 waffles cups of ingredients.

If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increase or decrease in recipe.

A recipe for 12 waffles calls for $1\frac{1}{2}$ cups of milk, $2\frac{1}{4}$ cups of flour, and $1\frac{1}{3}$ cups of other ingredients = total of $5\frac{1}{12}$ cups of ingredients

Current recipe

= 1 cup of 2 milk + cups of flour + 2 cups of other ingredients

= 1 + 2 + 2 + ()

= cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract $5\frac{1}{12}$ from $5\frac{1}{4}$ you get a difference of $\frac{1}{6}$ cups.

$5\frac{1}{4}$ - $5\frac{1}{12}$ = $\frac{1}{6}$

The original recipe has $2\frac{1}{4}$ cups of flour as its quantity for 12 waffles

Hence:

$2\frac{1}{4}$ cups of flour = 12 waffles

17 cups =

17 ×

= 204÷ $2\frac{1}{4}$

= 204 ÷ $\frac{9}{4}$

= 204 × $\frac{4}{9}$

= 90.666666667 or 90 $\frac{2}{3}$ Waffles

If = 12 waffles = 1 recipe

90 waffles =

7.56 or recipes.

For more information about Ratio and proportion click the link given below.

Answer from: tugordochulo1

This question was not written properly

Complete Question

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients.

A 5 1/12 cups of ingredients

B 10 1/6 cups of ingredients

C The total amount of ingredients for 12 waffles would increase from the original recipe.

D 7.56 or 7 5/9 recipes

Step-by-step explanation:

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

The total number of cups of ingredients needed =

1 1/2 cups of milk + 2 1/4 cups of flour + 1 1/3 cups of other ingredients

(1 + 2 + 1) + (1/2 + 1/4 +1/3)

4 + ( 6 + 3 + 4/12)

4 + (13/12)

4 + (1 1/12)

= 5 1/12 cups of ingredients

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

If 12 waffles requires = 5 1/12 cups of ingredients

36 waffles =

Cross Multiply

= (36 waffles × 5 1 /12)/12 waffles

= 10 1/6 cups of ingredients

C... If the milk is reduced to 1 cup and 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...

Original recipe.

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients = total of 5 1/12 cups of ingredients

Current recipe

1 cup of milk + 2 1/4 cups of flour + 2 cups of other ingredients

1 + 2 + 2 + (1/4)

5 1/4 cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract 5 1/12 from 5 1/4 you get a difference of 1/6 cups

5 1/4 - 5 1/12 = 1/6

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

The original recipe has 2 1/4 cups of flour as its quantity for 12 waffles

Hence:

2 1/4 cups of flour = 12 waffles

17 cups =

17 × 12/2 1/4

= 204÷ 2 1/4

= 204 ÷ 9/4

= 204 × 4/9

= 90.666666667 or 90 2/3 Waffles

If = 12 waffles = 1 recipe

90 2/3 waffles =

7.56 or 7 5/9 recipes