There are both white and brown eggs in the refrigerator. The ratio of the number of white eggs to the number of brown eggs is 3/4. Which of the following could be the number of eggs in the refrigerator?
4, 8, 12, 16, 24 ??
12
To determine the possible number of eggs in the refrigerator, we need to consider the ratio of white eggs to brown eggs. Let's start by assigning variables:
Let w be the number of white eggs.
Let b be the number of brown eggs.
According to the given information, the ratio of white eggs to brown eggs is 3/4, which can be written as:
w/b = 3/4
Now, we can look at the answer choices and see if they satisfy the given ratio.
If we have 3 white eggs and 4 brown eggs, the ratio will be 3/4, so this is a possible number of eggs.
If we have 6 white eggs and 8 brown eggs, the ratio will also be 3/4, so this is another possible number of eggs.
If we have 4 white eggs and 6 brown eggs, the ratio will be 2/3, which is not equal to 3/4. Therefore, this is not a possible number of eggs.
Hence, the possible number of eggs in the refrigerator could be either 3 white eggs and 4 brown eggs or 6 white eggs and 8 brown eggs.
To determine the possible number of eggs in the refrigerator, we need to find a pair of numbers that satisfy the given ratio of white eggs to brown eggs. Let’s consider the options.
If we have 4 white eggs and 3 brown eggs, this gives us a ratio of 4/3. The ratio does not match the given ratio of 3/4.
If we have 6 white eggs and 8 brown eggs, this gives us a ratio of 6/8, which simplifies to 3/4. The ratio matches the given ratio of 3/4.
If we have 9 white eggs and 12 brown eggs, this gives us a ratio of 9/12, which simplifies to 3/4. The ratio matches the given ratio of 3/4.
Therefore, the possible number of eggs in the refrigerator could be either 6 white eggs and 8 brown eggs, or 9 white eggs and 12 brown eggs.