2.If the largest of 7 consecutive integers is 25 what is the average of the 7 integers?
A.24
B.22
C.21
D.20
E.16
I got E, this is my work:
7x+21/7=25
7x+21=175
-21 -21
7x=154
x=22
The average is 22.
Good job on solving the equation and finding the value of x! However, your approach to finding the average of the 7 integers is incorrect.
To find the average of a set of numbers, you need to sum up all the numbers in the set and then divide the sum by the total number of elements in the set.
In this case, you have 7 consecutive integers. Let's name the first integer x. Since they are consecutive, the second integer would be x+1, the third integer would be x+2, and so on.
To find the sum of the seven consecutive integers, you add up all the numbers together:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6)
Simplifying the expression gives us:
7x + 21
Now, to find the average, you divide this sum by the total number of integers, which in this case is 7:
(7x + 21) / 7
Plugging in the given information that the largest of the 7 consecutive integers is 25 into the equation:
(7(25) + 21) / 7
Simplifying further:
(175 + 21) / 7
196 / 7
28
So, the average of the 7 consecutive integers is 28. Therefore, the correct answer is not E, but B.