Question

Cherlyn was at a shooting range and the average number of targets she hit in 4 sessions was 17.
She then practiced more to improve her skills.
When she added the results of her next 5 sessions, the average number of targets hit became 22.
What was the average number of targets she hit in the 5 new shooting sessions?

Answer 1

Let's assume that in the first 4 sessions, Cherlyn hit a total of "x" targets. We are given that the average number of targets she hit in these 4 sessions was 17. Since the average is calculated by dividing the total by the number of sessions, we can set up the following equation:

Average of the first 4 sessions = Total targets in the first 4 sessions / Number of sessions

17 = x / 4

Now, let's find the total number of targets Cherlyn hit in the next 5 sessions. We are given that the average number of targets in these 5 sessions was 22, so we can set up another equation:

Average of the next 5 sessions = Total targets in the next 5 sessions / Number of sessions

22 = Total targets in the next 5 sessions / 5

To find the total number of targets in the next 5 sessions, we can rearrange the equation:

Total targets in the next 5 sessions = 22 * 5 = 110

Now, to find the average number of targets Cherlyn hit in the 5 new shooting sessions, we divide the total number of targets in the next 5 sessions by the number of sessions:

Average in the 5 new sessions = Total targets in the next 5 sessions / Number of sessions

Average in the 5 new sessions = 110 / 5 = 22

So, the average number of targets Cherlyn hit in the 5 new shooting sessions was 22.