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Question

An illustration shows a set of three adjacent rectangles labeled as Eggs. Another set of two adjacent rectangles is labeled as Sausages and is placed below eggs. All rectangles have the same dimensions. An upward-facing bracket above the center rectangle in Eggs points to the number 12.

Edgar is making an egg casserole for brunch. He needs eggs and sausages in the ratio of 3:2 . If he is going to use 12 eggs, how many sausages does he need?

(1 point)
Responses

20 sausages
20 sausages

5 sausages
5 sausages

12 sausages
12 sausages

8 sausages
8 sausages
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Answer 1

To solve the problem, we need to determine how many sausages Edgar needs based on the ratio of eggs to sausages, which is 3:2.

Given that Edgar is using 12 eggs, we can set up the ratio:

\[ \frac{\text{Eggs}}{\text{Sausages}} = \frac{3}{2} \]

Let \( S \) be the number of sausages. Using the ratio, we have:

\[ \frac{12}{S} = \frac{3}{2} \]

Cross-multiplying to solve for \( S \):

\[ 3S = 12 \times 2 \]

\[ 3S = 24 \]

Now, divide both sides by 3:

\[ S = \frac{24}{3} = 8 \]

Therefore, Edgar needs 8 sausages.

The correct response is: 8 sausages.