Question

a cafeteria worker kept track of the number of times students ate a burger for lunch during the school year. the results for 5 of these students are shown below.

child	number of burgers eaten this year
nathan	36
jennifer	2
julia	13
rose	12

select two statements that are true about the situation.

• jennifer ate \\(\frac{1}{6}\\) the number of burgers as rose ate.
• kyle ate the most burgers of the five students.
• the number of burgers eaten by julie and rose combined is greater than the number of burgers eaten by kyle.
• nathan ate 3 times as many burgers as rose.

Explanation:

Step1: Analyze each statement

• Statement 1: Jennifer ate $\frac{1}{6}$ the number of burgers as Rose ate.

Rose ate 12 burgers. $\frac{1}{6}$ of 12 is $12\times\frac{1}{6} = 2$. Jennifer ate 2 burgers. So this statement is true.

• Statement 2: Kyle ate the most burgers of the five students.

Kyle ate 27, Nathan ate 36, which is more than 27. So this statement is false.

• Statement 3: The number of burgers eaten by Julie and Rose combined is greater than the number of burgers eaten by Kyle.

Julie ate 13, Rose ate 12. Combined: $13 + 12 = 25$. Kyle ate 27. $25 < 27$, so this statement is false.

• Statement 4: Nathan ate 3 times as many burgers as Rose.

Rose ate 12. $12\times3 = 36$. Nathan ate 36. So this statement is true.

Step2: Select the true statements

From the analysis, the true statements are "Jennifer ate $\frac{1}{6}$ the number of burgers as Rose ate" and "Nathan ate 3 times as many burgers as Rose".

Answer:

• Jennifer ate $\frac{1}{6}$ the number of burgers as Rose ate.
• Nathan ate 3 times as many burgers as Rose.