Use Tables of Equivalent Ratios Quick Check
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Question
Use the table to answer the question.
White Blue
3 4
x 8
9 12
12 y
For every 4 blue crayons in a box, there are 3 white ones. How many white crayons are there if there are 8 blue ones? How many blue crayons are there if there are 12 white ones?
(1 point)
Responses
12; 16
12; 16
4; 8
4; 8
9; 12
9; 12
6; 16
The correct answer is:
12; 16.
To answer the question, we need to find the corresponding ratio between white and blue crayons.
From the table, we can see that for every 4 blue crayons, there are 3 white ones.
So, to find the number of white crayons if there are 8 blue ones, we can set up a proportion:
4 blue crayons / 3 white crayons = 8 blue crayons / x white crayons
Cross multiplying, we get:
4x = 24
Dividing both sides by 4, we find:
x = 6
Therefore, there are 6 white crayons if there are 8 blue ones.
Similarly, to find the number of blue crayons if there are 12 white ones, we can set up a proportion:
4 blue crayons / 3 white crayons = y blue crayons / 12 white crayons
Cross multiplying, we get:
3y = 48
Dividing both sides by 3, we find:
y = 16
Therefore, there are 16 blue crayons if there are 12 white ones.
Thus, the correct answer is:
6; 16.
To determine the number of white crayons if there are 8 blue ones, we can use the ratio of white to blue crayons. The given table states that for every 4 blue crayons, there are 3 white ones.
Therefore, to find the number of white crayons, we can set up the following ratio equation:
3 white crayons / 4 blue crayons = x white crayons / 8 blue crayons
We can solve this proportion by cross-multiplying:
3 * 8 = 4 * x
24 = 4x
Dividing both sides by 4:
x = 6
So, if there are 8 blue crayons, there would be 6 white crayons.
To determine the number of blue crayons if there are 12 white ones, we can use the same ratio of white to blue crayons. The given table states that for every 4 blue crayons, there are 3 white ones.
Therefore, to find the number of blue crayons, we can set up the following ratio equation:
3 white crayons / 4 blue crayons = 12 white crayons / y blue crayons
We can solve this proportion by cross-multiplying:
3 * y = 4 * 12
3y = 48
Dividing both sides by 3:
y = 16
So, if there are 12 white crayons, there would be 16 blue crayons.
The correct answer is: 6; 16.