SOLUTION: The mean of a set of five numbers is 3k. When a sixth number is added to the set, the mean increases by k. What is the ratio of the sixth number to the sum of the first five number
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Question 1066973: The mean of a set of five numbers is 3k. When a sixth number is added to the set, the mean increases by k. What is the ratio of the sixth number to the sum of the first five numbers? Express your answer as a common fraction. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The mean of a set of five numbers is 3k.
let n = the number = 3k
5n = 5(3k)
5n = 15k
When a sixth number is added to the set, the mean increases by k.
let x = the 6th number = 4k
5n + x = 6(4k)
5n + x = 24k
replace 5n with 15k
15k + x = 24k
x = 24k - 15k
x = 9k
What is the ratio of the sixth number to the sum of the first five numbers?
Replace x with 9k; replace 5n with 15k
Cancel k reduces to
