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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.
Answer:
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
- The total number of cups of ingredients needed for 12 waffles [tex]\frac{61}{12}[/tex] .
- The total number of cups of ingredients needed for 36 waffles [tex]10 \frac{1}{6}[/tex].
Given
Total no. of waffles required = 12
No. of cups of milk = [tex]1\frac{1}{2}[/tex]
No. of cups of flour = [tex]2\frac{1}{4}[/tex]
No. of cups of other ingredients = [tex]1\frac{1}{3}[/tex]
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
= [tex]( 1+ 2+ 1 ) ( \frac{1}{2} + \frac{1}{4} + \frac{1}{3} )[/tex]
= [tex](4) + ( \frac{6+3+4}{12} )\\\\= (4) +(\frac{13}{12} \\\\= \frac{48+13}{12} \\\\= \frac{61}{12}[/tex]
The total number of cups of ingredients needed for 12 waffles is [tex]\frac{61}{12}[/tex].
- 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 [tex]1\frac{1}{2}[/tex] cups of milk, [tex]2\frac{1}{4}[/tex] cups of flour, and [tex]1\frac{1}{3}[/tex]cups of other ingredients = total of [tex]5\frac{1}{12}[/tex] 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 [tex]5\frac{1}{12}[/tex] from [tex]5\frac{1}{4}[/tex] you get a difference of [tex]\frac{1}{6}[/tex] cups.
[tex]5\frac{1}{4}[/tex] - [tex]5\frac{1}{12}[/tex] = [tex]\frac{1}{6}[/tex]
The original recipe has [tex]2\frac{1}{4}[/tex] cups of flour as its quantity for 12 waffles
Hence:
[tex]2\frac{1}{4}[/tex] cups of flour = 12 waffles
17 cups =
17 ×
= 204÷ [tex]2\frac{1}{4}[/tex]
= 204 ÷ [tex]\frac{9}{4}[/tex]
= 204 × [tex]\frac{4}{9}[/tex]
= 90.666666667 or 90 [tex]\frac{2}{3}[/tex] Waffles
If = 12 waffles = 1 recipe
90 waffles =
7.56 or recipes.
For more information about Ratio and proportion click the link given below.
https://brainly.ph/question/843
