Question

I have two questions:

What number should be removed from the list {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} so that the average of the remaining numbers is 6.1?

and:

Isabella must take four 100-point tests in her math class. Her goal is to achieve an average grade of at least 95 on the tests. Her first two test scores were 97 and 91. After seeing her score on the third test, she realized that she could still reach her goal. What is the lowest possible score she could have made on the third test?

If you answer, that would be very much appreciated!

Answer 1

Remove 5 and 92

Explanation:

The first question:

you have 11 numbers and need to remove 1 which makes the amount of numbers you use 10, since you have to remove one so you work backwards. If n is the 10 numbers added up and you have to divide them by 10 to get 6.1 so we get which is the mean n/10 = 6.1 which equals n=61 so the 10 numbers added up equal up to 61. The total of all 11 numbers is 66. So 66-61=5. You remove 5

Second Question:

She is taking 4 tests. She wants to average a 95 on those tests. So, she must score 95*4=380 total. She scored 97 and 91, or 188 total. So, she must score 380-188 = 192 total on her next two tests. Her maximum score possible on the fourth test is 100. In Conclusion, the lowest score possible for the third test would be 192-100=92

Answer 2

You remove 5

Explanation:

I can answer your first question

you have 11 numbers and need to remove 1 which makes the amount of numbers you use 10 so if you work backwards:

lets say x is the 10 numbers added up and you have to divide them by 10 to get 6.1 so we get

x/10 = 6.1 which equals x=61 so the 10 numbers added up equal up to 61.

With a bit of trial and error you get 1 + 2+3+4+6+7+8+9+10+11 =61 so you remove 5 !

Hope it helped you