SOLUTION: The average cost of six houses is $135,000. The cost of five of the houses is $128,000; $167,500; $105,400; $152,900; and $137,600. What is the cost of the sixth house?

Algebra ->  Average -> SOLUTION: The average cost of six houses is $135,000. The cost of five of the houses is $128,000; $167,500; $105,400; $152,900; and $137,600. What is the cost of the sixth house?       Log On


   

Question 101921: The average cost of six houses is $135,000. The cost of five of the houses is $128,000; $167,500; $105,400; $152,900; and $137,600. What is the cost of the sixth house?
Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
To find the average of 6 numbers you need to add them together and divide by 6.
We are given the cost for each of five houses.
And we are given the average cost of these five house plus another is $135000
So first add the prices we are given for the five houses.
128000 + 167500 + 105400 + 152900 + 137600 = 691400
Ok so 691400 plus the cost of the sixth house divided by 6 equals 135000
If we call the sixth house x we can write an equation to solve for x.
%28691400%2Bx%29%2F6=135000
lets solve for x
first multiply both sides of the equation by 6
691400%2Bx=810000
now subtract 691400 from both sides
691400-691400%2Bx=810000-691400
x=118600
Answer: The cost of the sixth house is $118,600
Check the anwser:
%28691400%2Bx%29%2F6=135000
%28691400%2B118600%29%2F6=135000
810000%2F6=135000
135000=135000