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
5 sausages
5 sausages
8 sausages
8 sausages
20 sausages
20 sausages
12 sausages
Since the ratio of eggs to sausages is 3:2, and Edgar is using 12 eggs, we can determine the number of sausages he needs by dividing 12 by 3 and multiplying by 2. This gives us 8 sausages. Therefore, Edgar needs 8 sausages.
The correct answer is:
8 sausages
Looking at the illustration, we can see that the ratio of eggs to sausages is 3:2. This means that for every 3 eggs, Edgar needs 2 sausages.
Since Edgar is using 12 eggs, we can divide this by 3 to find out how many sets of 3 eggs he has:
12 eggs รท 3 = 4 sets of 3 eggs
Therefore, Edgar needs 4 sets of sausages. Since each set has 2 sausages, we can multiply this by 2:
4 sets x 2 sausages per set = 8 sausages
So Edgar needs 8 sausages.
To solve this problem, we need to use the information given in the illustration and the ratio of eggs to sausages.
According to the illustration, we know that the number 12 is labeled above the center rectangle in the Eggs group. This means that the center rectangle represents 12 eggs.
The ratio of eggs to sausages is given as 3:2. This means that for every 3 eggs, Edgar needs 2 sausages.
Since we know that the center rectangle represents 12 eggs, we can find the number of sausages needed by setting up a proportion:
(3 eggs) / (2 sausages) = (12 eggs) / (x sausages)
Cross-multiplying, we get:
3 * x = 2 * 12
3x = 24
Dividing both sides by 3, we find:
x = 8
Therefore, Edgar needs 8 sausages to maintain the ratio of 3:2 with 12 eggs.
So the correct answer is:
8 sausages.