SOLUTION: One number is 6 more than another. The sum of the numbers is 30. Find the numbers. A coat cost 3 times as much as a pair of pants. Together they cost $180. How much does eac

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: One number is 6 more than another. The sum of the numbers is 30. Find the numbers. A coat cost 3 times as much as a pair of pants. Together they cost $180. How much does eac      Log On


   

Question 241740: One number is 6 more than another. The sum of the numbers is 30. Find the numbers.
A coat cost 3 times as much as a pair of pants. Together they cost $180. How much does each cost.

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
If one number is six more than the other number and their sum is 30,we can say:
x%2B%28x%2B6%29=30
Now solve for x to find the value of one number.
2x%2B6=30
2x=30-6
2x=24
x=24%2F2
x=12 ...this is one number
.
The other number is:
x%2B6=12%2B6=18
.
==========================================
.
Let pants = x
Let coats = 3x
Their sum = 180
So we can say their equation is:
x%2B3x=180
4x=180
x=180%2F4
x=45
.
Done! :)