Question
Edgar is making an egg casserole for brunch, he needs eggs and sausages in a ratio of 3:2. If he is going to use 12 eggs, how many sausages does he need?
Answers
GPT-4o mini
To find out how many sausages Edgar needs, we can use the ratio of eggs to sausages, which is 3:2.
Given that he is using 12 eggs, we can set up the following proportion:
\[
\frac{ \text{eggs}}{ \text{sausages}} = \frac{3}{2}
\]
Let \( s \) be the number of sausages. Then we have:
\[
\frac{12}{s} = \frac{3}{2}
\]
Now, we can cross-multiply to solve for \( s \):
\[
12 \cdot 2 = 3 \cdot s
\]
This simplifies to:
\[
24 = 3s
\]
Now, divide both sides by 3:
\[
s = \frac{24}{3} = 8
\]
Therefore, Edgar needs **8 sausages**.
Given that he is using 12 eggs, we can set up the following proportion:
\[
\frac{ \text{eggs}}{ \text{sausages}} = \frac{3}{2}
\]
Let \( s \) be the number of sausages. Then we have:
\[
\frac{12}{s} = \frac{3}{2}
\]
Now, we can cross-multiply to solve for \( s \):
\[
12 \cdot 2 = 3 \cdot s
\]
This simplifies to:
\[
24 = 3s
\]
Now, divide both sides by 3:
\[
s = \frac{24}{3} = 8
\]
Therefore, Edgar needs **8 sausages**.
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