5 hockey pucks and three hockey sticks cost $23.
5 hockey pucks and 1 hockey stick cost $20. How much
does 1 hockey puck cost?
p --- cost of hockey stick
s --- cost of hockey stick
5p + 3h = 23
5p + h = 20
subtract the two equations, it is easy after that.
To find the cost of one hockey puck, we can set up a system of equations based on the given information. Let's assign variables to the unknown quantities.
Let's assume the cost of one hockey puck is represented by 'p', and the cost of one hockey stick is represented by 's'.
From the first equation, we know that 5 hockey pucks and 3 hockey sticks cost $23, so we can write the equation as:
5p + 3s = 23 ----(Equation 1)
From the second equation, we know that 5 hockey pucks and 1 hockey stick cost $20, so we can write the equation as:
5p + 1s = 20 ----(Equation 2)
Now, we have a system of equations with two unknowns. We can solve this system using various methods like substitution or elimination.
Let's solve it using the elimination method.
We multiply Equation 2 by 3 to make the 's' coefficients equal, resulting in:
15p + 3s = 60 ----(Equation 3)
Now, we can subtract Equation 1 from Equation 3 to eliminate the 's' variable:
(15p + 3s) - (5p + 3s) = 60 - 23
15p - 5p + 3s - 3s = 37
10p = 37
p = 37/10
p = $3.70
Therefore, the cost of one hockey puck is $3.70.