Jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. cassie practiced five times last week for sessions of 15 minutes, 30 minutes, 15 minutes, 15 minutes, and 50 minutes. which statement is true based on the data above?

the two girls practiced for the same total amount of time last week.

the average length of time cassie spent practicing is greater than the average length of time jacqueline spent practicing.

the difference in length between cassie’s longest and shortest practice sessions was greater than the difference in length between jacqueline’s longest and shortest sessions.

the greatest amount of time either girl spent practicing was one of jacqueline’s practice sessions.

First, we can check the total amount of time that each of the girls spent for practicing. We can as well compute for their average time per day for practice.

Jacqueline = (40 + 35 + 45 + 30) = 150 minutes
Cassie = (15 + 30 + 15 + 15 + 50) = 125 minutes

As for the average time per day, we just divide the total minutes by the number of days each of them spent for practicing.

Jacqueline = 150/4 = 37.5 minutes per day
Cassie = 125/5 = 25 minutes per day

From the total time and average computed for each girl, we can see that Jacqueline has a longer average than Cassie. We can eliminate the first two statements and proceed with comparing the difference between each longest and shortest practice time.

Jacqueline = 45 - 30 = 15
Cassie = 50 - 15 = 35

Thus, showing that the correct statement among the choices is the 3rd one.

 The difference in length between Cassie’s longest and shortest practice sessions was greater than the difference in length between Jacqueline’s longest and shortest sessions.

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