Respuesta :
Answer:
1 & 1/6
Step-by-step explanation:
You only need half the amount of sugar so you multiply by 1/2. so 2 cups and 1/3.
2\1 X 1/2 = 2/2=1 cup
1/3X1/2=1/6
1+1/6= 1 & 1/6
This question can be solved by the Operation of fractions such as: Addition, Subtraction, Multiplication, and Division.
The number of cups of sugar she will need for Recipe A is
Let the number of cups of sugar for:
Recipe A = a
Recipe B = b
Recipe A calls for one-third less than twice the number of cups of sugar that Recipe B calls for.
This statement can be represented mathematically as:
a = 2b - [tex]\frac{1}{3}[/tex]
We are also told that she needs [tex]4\frac{1}{6}[/tex] cups of sugar in all.
This means: a + b = [tex]4\frac{1}{6}[/tex]cups of sugar
Substituting 2b - [tex]\frac{1}{3}[/tex] for a
We have:
2b - [tex]\frac{1}{3}[/tex] = [tex]4\frac{1}{6}[/tex]
Add [tex]\frac{1}{3}[/tex] to both sides
2b - [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]4\frac{1}{6}[/tex] +[tex]\frac{1}{3}[/tex]
2b = [tex]4\frac{1}{2}[/tex]
Divide both sides by 2
2b/2 = [tex]4\frac{1}{2}[/tex] / 2
b = [tex]\frac{9}{2}[/tex] / 2
b = [tex]\frac{9}{2}[/tex] x 2/1
b = 9 cups
Therefore, Recipe B needed 9 cups of sugar.
Solving for Recipe A
a = 2b - 1/3
a = 2 x 9 - 1/3
a = 18 - 1/3
a = [tex]17\frac{2}{3}[/tex] cups of sugar
Therefore, Recipe A needs [tex]17\frac{2}{3}[/tex]cups of sugar
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https://brainly.com/question/17149247
