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Trina uses [tex]\(\frac{1}{2}\)[/tex] cup of sugar and [tex]\(\frac{3}{4}\)[/tex] cup of flour in a recipe. How many cups of sugar would she need if she uses 3 cups of flour?

A. [tex]\(1 \frac{1}{2}\)[/tex] cups
B. 2 cups
C. [tex]\(2 \frac{1}{4}\)[/tex] cups
D. 3 cups



Answer :

GinnyAnswer
To find out how many cups of sugar Trina would need if she uses 3 cups of flour, we’ll follow these steps:

1. Determine the ratio of sugar to flour in the original recipe.

Trina uses [tex]\(\frac{1}{2}\)[/tex] cup of sugar and [tex]\(\frac{3}{4}\)[/tex] cup of flour in the original recipe. To find the ratio of sugar to flour, we divide the amount of sugar by the amount of flour:

[tex]\[ \text{Ratio of sugar to flour} = \frac{\frac{1}{2}}{\frac{3}{4}} \][/tex]

Simplifying this fraction:

[tex]\[ \frac{\frac{1}{2}}{\frac{3}{4}} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3} \][/tex]

So the ratio of sugar to flour is [tex]\(\frac{2}{3}\)[/tex].

2. Use the ratio to find the required amount of sugar for 3 cups of flour.

Now, we know the ratio of sugar to flour is [tex]\(\frac{2}{3}\)[/tex]. To find out how much sugar is needed for 3 cups of flour, we multiply this ratio by the amount of flour:

[tex]\[ \text{Required amount of sugar} = \left(\frac{2}{3}\right) \times 3 \][/tex]

Simplifying this multiplication:

[tex]\[ \left(\frac{2}{3}\right) \times 3 = 2 \][/tex]

Therefore, Trina would need 2 cups of sugar if she uses 3 cups of flour.

Hence, the answer is [tex]\(\boxed{2 \text{ cups}}\)[/tex].
chibabykalu16

Answer:

B. 2 cups

Step-by-step explanation:

Given:

  • [tex]\frac{1}{2}[/tex]  cup of sugar
  • [tex]\frac{3}{4}[/tex]  cup of flour

Firstly, we need to find the ratio

[tex]\text{Ratio} = \frac{\frac{1}{2} \text{ cup of sugar}}{\frac{3}{4} \text{ cup of flour}} = \frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}[/tex]

From the above, we can interpret that every 3 cups of flour is equivalent to 2 cups of sugar

Therefore, if she uses 3 cups of lour she would need 2 cups of sugar

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