SOLUTION: Five hockey pucks and three hockey sticks cost $23. Five hockey pucks and one hockey stick costs $20. How much does on hockey puck cost?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Five hockey pucks and three hockey sticks cost $23. Five hockey pucks and one hockey stick costs $20. How much does on hockey puck cost?      Log On


   



Question 368846: Five hockey pucks and three hockey sticks cost $23. Five hockey pucks and one hockey stick costs $20. How much does on hockey puck cost?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let P be the cost of pucks, S the cost of sticks.
1.5P%2B3S=23
2.5P%2BS=20
Subtract eq. 2 from eq. 1,
5P%2B3S-5P-S=23-20
2S=3
S=3%2F2
Then from eq. 2,
5P%2B3%2F2=20
5P=40%2F2-3%2F2
P=37%2F10
Pucks cost $3.70 and sticks cost $1.50.