Mike bought 3 tennis and 2 badminton rackets for $300. If he buys 2 badminton and 2 tennis rackets, he pays $240.How much is a tennis racket?
5 rackets = $300 and 4 rackets = $240.
300 - 240 = ?
that answer was marked wrong, are they assuming that the tennis rackets cost more??
To solve this problem, let's assign variables to the cost of a tennis racket and a badminton racket.
Let's say the cost of a tennis racket is 't' and the cost of a badminton racket is 'b'.
According to the given information, Mike bought 3 tennis rackets and 2 badminton rackets for $300. So we can set up the equation:
3t + 2b = 300 ---(Equation 1)
Next, it is stated that if Mike buys 2 badminton rackets and 2 tennis rackets, he pays $240. This gives us another equation:
2t + 2b = 240 ---(Equation 2)
We now have a system of two equations with two variables. To solve for 't', we can use either substitution or elimination method.
Let's use the elimination method to eliminate the variable 'b':
Multiply Equation 2 by -1, so we get:
-2t - 2b = -240
Now add Equation 1 and the modified Equation 2:
(3t + 2b) + (-2t - 2b) = 300 + (-240)
Simplifying, we get:
t = 60
Therefore, the cost of a tennis racket is $60.