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 c

Question

3 years ago

9

up of white sugar? A 1/8 B 3/ 8 C 1 /4 D 3/ 4

1 answer:

sammy [17] · Answer 1 · 2022-09-18T13:05:57+03:00

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 = $\frac{1}{4}:\frac{2}{3}$

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

$\frac{1}{4}:\frac{2}{3}::x:1$

Product of mean = Product of extreme

$\frac{2}{3}*x=\frac{1}{4}*1\\\frac{2}{3}x=\frac{1}{4}$

Multiplying both sides by 3/2

$\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2}\\x=\frac{3}{8}$

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

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