When the teacher buys tennis rackets for his gym class, he must buy five more than three times as many tennis balls. Rackets cost $20 each and ball cost $1.50 each. How much does the teacher spend if he needs 17 tennis rackets?
rackets=5+3*B or B=(R-5)/3
cost=20R+1.5B
=20*17+1.5(17-5)/3
(17 * 3) + 5 = 56 balls
(17 * 20) + (56 * 1.5) = ?
Let's solve this problem step-by-step:
Step 1: Determine the number of tennis balls needed.
The teacher needs to buy five more than three times the number of tennis balls, which means (3 * number of tennis balls) + 5 tennis balls.
However, the problem does not provide the exact number of tennis balls required.
To calculate the exact number, let's substitute the given number of tennis rackets into the equation:
17 (number of tennis rackets) = (3 * number of tennis balls) + 5
Simplifying the equation, we get:
17 = 3 * number of tennis balls + 5
Subtracting 5 from both sides, we get:
12 = 3 * number of tennis balls
Dividing both sides by 3, we find:
number of tennis balls = 4
Step 2: Calculate the total cost of tennis rackets.
The teacher needs 17 tennis rackets, and each racket costs $20.
Total cost of tennis rackets = number of tennis rackets * cost per racket
Total cost of tennis rackets = 17 * $20 = $<<17*20=340>>340
Step 3: Calculate the total cost of tennis balls.
The teacher needs 4 tennis balls, and each ball costs $1.50.
Total cost of tennis balls = number of tennis balls * cost per ball
Total cost of tennis balls = 4 * $1.50 = $<<4*1.5=6>>6
Step 4: Calculate the total amount spent by the teacher.
Total amount spent = Total cost of tennis rackets + Total cost of tennis balls
Total amount spent = $340 + $6 = $<<340+6=346>>346
Therefore, the teacher will spend $346 on tennis rackets.
To find out how much the teacher spends, we first need to determine the number of tennis balls he needs to buy. According to the information given, the teacher must buy five more than three times as many tennis balls as rackets.
Let's start by finding the number of tennis balls:
3 times the number of rackets = 3 * 17 = 51.
Then, we add 5 to that: 51 + 5 = 56 tennis balls.
Now that we know the number of balls and rackets required, we can calculate the total cost.
The cost of each racket is $20, and the cost of each ball is $1.50.
The total cost of the rackets is: Number of rackets * Cost per racket = 17 * $20 = $<<17*20=340>>340.
The total cost of the balls is: Number of balls * Cost per ball = 56 * $1.50 = $<<56*1.5=84>>84.
Finally, we can calculate the total cost by adding the cost of the rackets and the cost of the balls together: $340 + $84 = $<<340+84=424>>424.
Therefore, the teacher spends $424.