SOLUTION: I have 21 dollars I need to buy 3 items spending exactly 21 dollars the 2nd item has to be double what I paid for the first and the 3rd item has to be triple what I paid for the 2

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I have 21 dollars I need to buy 3 items spending exactly 21 dollars the 2nd item has to be double what I paid for the first and the 3rd item has to be triple what I paid for the 2      Log On


   

Question 995290: I have 21 dollars I need to buy 3 items spending exactly 21 dollars
the 2nd item has to be double what I paid for the first and the 3rd item has to be triple what I paid for the 2nd item..what is the cost of the first item.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
First item, x
Second item 2x
Third item 3*2x

x%2B2x%2B3%2A2x=21
9x=21
x=21%2F9
x=7%2F3

x is 2 and one-third dollars.
x=2%261%2F3 which is about $2.33