A recipe calls for 1/4 cup of brown sugar for every 2/3 cup of white sugar. How many cups of brown sugar is required for every cup of white sugar? A 1/8 B 3/ 8 C 1 /4 D 3/ 4

Question

contestada

Respuesta :

absor201 absor201 · Answer 1 · 2019-12-16T15:57:33+01:00

The right answer is Option B: 3/8

Step-by-step explanation:

Given,

1/4 cup of brown sugar is for 2/3 cup of white sugar.

Ratio of brown sugar to white sugar = [tex]\frac{1}{4}:\frac{2}{3}[/tex]

Let,

x be the brown sugar required for 1 cup of white sugar.

Ratio of brown sugar to white sugar = x:1

Using proportion;

Ratio of brown sugar to white sugar :: Ratio of brown sugar to white sugar

[tex]\frac{1}{4}:\frac{2}{3}::x:1[/tex]

Product of mean = Product of extreme

[tex]\frac{2}{3}*x=\frac{1}{4}*1\\\frac{2}{3}x=\frac{1}{4}[/tex]

Multiplying both sides by 3/2

[tex]\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2}\\x=\frac{3}{8}[/tex]

3/8 cups of brown sugar is required for 1 cup of white sugar.

The right answer is Option B: 3/8

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly