The week before the big concert, five friends Alan, Ben, Cameron, Derryck, and Garrett, stood in line to buy tickets. There were other people there, but the five friends were in the line in the order listed above. The line was really long, and they were pretty bored. Cameron noticed that if he counted the number of strangers between each pair of friendss, he got the numbers 7,12,19,21,36,43,55,57,64,76. Like i said, he was REALLY bored! he sent this info. to Garrettin a paper airplane, and he passed the time in line using Camerons info. to determine how many people were between Alan and Ben , Ben and Cameron, Cameron and Derryck, and between Derryck and Garrett. How many people are between:
A&B____ B&C____ C&D____ D&G_____?
To find the number of people between each pair of friends, we can use the information provided by Cameron's counting exercise. Let's break down the steps to find the answers:
Step 1: Analyzing the given numbers
Let's examine the sequence of numbers Cameron obtained: 7, 12, 19, 21, 36, 43, 55, 57, 64, 76.
If we observe carefully, we can see that these numbers follow a pattern. The differences between each consecutive pair of numbers are increasing: 5, 7, 2, 15, 7, 12, 2, 7, 12.
Step 2: Calculating the number of people between each friend pair
To find the number of people between Alan and Ben (A&B), we start with the first number in the sequence, which is 7. This means there are 7 people between Alan and Ben.
To find the number of people between Ben and Cameron (B&C), we add the next number to the previous total. So, 7 + 12 = 19. Therefore, there are 19 people between Ben and Cameron.
To find the number of people between Cameron and Derryck (C&D), we continue adding the next number to the previous total. So, 19 + 19 = 38. Therefore, there are 38 people between Cameron and Derryck.
To find the number of people between Derryck and Garrett (D&G), we again continue adding the next number to the previous total. So, 38 + 21 = 59. Therefore, there are 59 people between Derryck and Garrett.
So, the number of people between Alan and Ben (A&B) is 7, between Ben and Cameron (B&C) is 19, between Cameron and Derryck (C&D) is 38, and between Derryck and Garrett (D&G) is 59.
Therefore, the answers are:
A&B: 7
B&C: 19
C&D: 38
D&G: 59