The cost of 2 badminton rackets and 2 tennis rackets is $240. The cost of 3 tennis and 2 badminton rackets is $300. How much is a tennis racket?
If you go to the store and want to buy 2 each of badminton tennis rackets, the clerk tells you the price is $240.
You changed your mind and add one more tennis racket, and the clerk says, "that'll be $300."
How much is a tennis racket?
yup, got the answer as $60 but it was marked wrong by the teacher...go figure..nvm
Sorry, it's not clear what happened.
Another possibility is typo in the question or the teacher does not have the same question as yours.
To solve this problem, we can set up a system of equations. Let's assign some variables:
Let's use "b" to represent the cost of a badminton racket and "t" to represent the cost of a tennis racket.
From the given information, we can form the following equations:
Equation 1: 2b + 2t = 240 (the cost of 2 badminton rackets and 2 tennis rackets is $240)
Equation 2: 3t + 2b = 300 (the cost of 3 tennis rackets and 2 badminton rackets is $300)
Now, we can solve this system of equations to determine the cost of a tennis racket:
Step 1: Solve Equation 1 for b in terms of t:
2b = 240 - 2t
b = (240 - 2t)/2
b = 120 - t
Step 2: Substitute the value of b from Step 1 into Equation 2:
3t + 2(120 - t) = 300
3t + 240 - 2t = 300
t + 240 = 300
t = 300 - 240
t = 60
Therefore, the cost of a tennis racket is $60.