Use the image to answer the 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
12 sausages
12 sausages
5 sausages
5 sausages
8 sausages
8 sausages
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The answer is 8 sausages.
To answer the question, we can use the information provided in the image. The image shows that the ratio of eggs to sausages is 3:2, and Edgar is using 12 eggs. Since the ratio is 3:2, we can divide the number of eggs by 3 and multiply it by 2 to find the number of sausages required.
12 (number of eggs) ÷ 3 = 4
4 (result) × 2 = 8
Therefore, Edgar needs 8 sausages.
To find the number of sausages Edgar needs, we need to use the ratio given. The ratio is 3:2, which means for every 3 eggs, he needs 2 sausages.
In the illustration, it shows that 12 eggs are needed. Since we know the ratio of eggs to sausages is 3:2, we can set up a proportion to find the number of sausages:
(3 eggs / 2 sausages) = (12 eggs / x sausages)
To solve for x, we cross-multiply:
3x = 12 * 2
3x = 24
Dividing both sides by 3, we find:
x = 8
Therefore, Edgar needs 8 sausages to go along with the 12 eggs. So the correct answer is:
8 sausages.