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.