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
Algebra.Com
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
RELATED QUESTIONS
The average (arithmetic mean) of a set of 5 numbers is 9.6. When a sixth number is added... (answered by alicealc)
the mean of a set of numbers is 120. if one number is increases by 300, the mean... (answered by edjones)
the mean of a set of numbers is 120. if one number is increased by 300, the mean... (answered by stanbon)
the mean of a set of numbers is 120. if one number is increased by 300, the mean... (answered by neatmath)
A set of 9 numbers {3, 3, 4, 5, 5, 5, 6, 7, 7} has a mean of 5. Another number is added... (answered by ikleyn)
the mean of a set of numbers is 120. if one number is increased by 300, the mean... (answered by edjones)
The mean of a set of five scores is 68. What is the new mean of the set of scores after a (answered by solver91311)
The mean of a set of numbers is 500.
a. If 10 is added to each of the numbers in the... (answered by math_tutor2020)
The mean of a set of numbers is 500.
a. If 10 is added to each of the numbers in the... (answered by math_helper)