jen bought some sesame bagels and some plain bagels and some plain bagels.the ratio of the number of sesame bagels to the number of plain bagels is 1:3. A: what fraction of the bagels 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.) 3/4 are plain
b.) 75% are plain
c.) 18 are plain and 6 are sesame. 2 dozen bagels is the same as 24 bagels. Since there are 4 total parts, you have to divide the number of bagels into 4 equal parts [24 / 4]. Since each part is 6 bagels, multiply 6 by 3 since the ratio of plain to sesame is 3:1. Yours should get 18 plain bagels. Then, since 3 of the 4 parts are plain, and each part is 6 bagels, there are 6 sesame bagels.
Answer: A) \(\frac{3}{4}\)
B) 75%
C) She bought 1.5 dozen of plain bagels and 0.5 dozen of sesame bagels.
Step-by-step explanation:
Given: The ratio of the number of sesame bagels to the number of plain bagels is 1:3.
Let the number of sesame bagels be x and the number of plain bagels be 3x.
Then total bagels=x+3x=4x
A) The fraction of bagels are plain\(=\frac{3x}{4x}=\frac{3}{4}\)
B) The percent of bagels are plain\(=\frac{3}{4}\times100=75\%\)
C) If ill bought 2 dozen bagels, the number of plain bagels\(=\frac{3}{4]\times2=\frac{3}{2}\text{ dozen}=1.5\text{dozen}\)
The number of sesame bagels \(=\frac{x}{4x}\times2\text{ dozen}=\frac{1}{2}\text{ dozen}=0.5\text{ dozen}\)
Hence, she bought 1.5 dozen of plain bagels and 0.5 dozen of sesame bagels.