Raj gave his mother a bouquet of 12 pink and white roses. There were 4 pink roses in the bouquet. Which ratio represents the number of white roses to the total number of roses in the bouquet?

One-third
One-half
Two-thirds
Three-fourths

1 answer

To find the ratio of the number of white roses to the total number of roses in the bouquet, we first need to determine how many white roses are in the bouquet.

Since the bouquet contains a total of 12 roses and there are 4 pink roses:

Number of white roses = Total roses - Pink roses Number of white roses = 12 - 4 = 8 white roses.

Now we can find the ratio of the number of white roses to the total number of roses:

The ratio of white roses to total roses = Number of white roses : Total number of roses = 8 : 12.

To simplify this ratio, we can divide both numbers by 4:

8 ÷ 4 = 2, and 12 ÷ 4 = 3.

Thus, the simplified ratio of white roses to total roses is 2:3.

Now we can check which option corresponds to this ratio:

  1. One-third (1:3)
  2. One-half (1:2)
  3. Two-thirds (2:3)
  4. Three-fourths (3:4)

The correct option that matches the ratio of 2:3 is Two-thirds.