Use Tables of Equivalent Ratios Quick Check 4 of 54 of 5 Items 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 4; 8 4; 8 6; 16 6; 16 12; 16 12; 16 9; 12

Answer 1

The correct responses are:

For every 4 blue crayons in a box, there are 3 white ones. If there are 8 blue ones, we can find the number of white ones by setting up the ratio:

White/Blue = 3/4

Since there are 8 blue crayons, we can write the equation:

White/8 = 3/4

To solve for White, we can cross multiply:

4 * White = 8 * 3

4 * White = 24

White = 24/4 = 6

So, there are 6 white crayons if there are 8 blue ones.

Similarly, if there are 12 white crayons, we can set up the ratio:

White/Blue = 3/4

Since we want to find the number of blue crayons, we can write the equation:

12/Blue = 3/4

To solve for Blue, we can cross multiply:

4 * Blue = 12 * 3

4 * Blue = 36

Blue = 36/4 = 9

So, there are 9 blue crayons if there are 12 white ones.