SOLUTION: A girl bought tape, a book and a recorder at a total cost of $100.00. The book cost half as much as the tape, the recorder cost $12.00 more than the book. Find the cost of each ite

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A girl bought tape, a book and a recorder at a total cost of $100.00. The book cost half as much as the tape, the recorder cost $12.00 more than the book. Find the cost of each ite      Log On


   

Question 1021139: A girl bought tape, a book and a recorder at a total cost of $100.00. The book cost half as much as the tape, the recorder cost $12.00 more than the book. Find the cost of each item.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make the tape = 'x'
Book costs 1/2x
Recorder costs 12 + 1/2x
A girl bought tape, a book and a recorder
at a total cost of $100.00
x + 1/2x + 12 + 1/2x = 100
Collect like terms
x + 1/2x + 1/2x = 100 - 12
2x = 88
x = 44
Tape cost $44
Book cost $22
Recorder cost $34
Hope this helps :-)