Jen bought some sesame bagels and some plain bagels. The ratio of the numbers of sesame bagels to the number of plain bagels is 1:3.

A. What is the fraction of the bagels that are plain.

B. What percent of the bagels are plain.

C. If Jill bought 2 dozen bagels, how many of each type of bagel did she buy.

A. What is the fraction of the bagels that are plain?

Sesame bagels: plain bagels = 1 : 3

This means that 1/3 of the bagels are sesame.

Therefore, you know that 2/3 of the bagels are plain, as Jen bought only these two types of bagels.

B. What percent of the bagels are plain?

From Part A, we know that 2/3 of the bagels are plain. To find the decimal approximation, we just divide the numerator by the denominator.

2/3 ≈ 0.67

0.67 as a percentage is 67%.

Therefore, 67% of the bagels are plain.

C. If Jen bought two dozen bagels, how many of each type of bagel did she buy?

We know that a dozen bagels is 12 bagels.

Because Jen bought two dozen bagels, she has 24 total bagels.

We know that the ratio of sesame to plain bagels is 1:3.

We set up an equation to model this ratio, letting x represent the number of unknown bagels.

1x + 3x = 24

When we combine like terms, we get the equation:

4x=24

When we divide both sides by 4, we get our answer:

x=6

Now we substitute our known variable back into the equation for x.

1 (6) = sesame

3 (6) = plain

Together, these amounts equal 24 bagels.

After multiplying, we find out that Jen bought a total of 6 sesame bagels and 18 plain bagels.