Math 2022 Question 26
3 Marks
Question
The costs of rackets and balls are shown below.
Calculate the cost of 1 racket.
Answer
One Racket is $72
Explanation
2 Rackets + 2 Balls = 184
2 Rackets + 4 Balls = 224
Therefore 2 Rackets = 184 – 2 Balls
Substitute Rackets for balls in the 2nd equation
2 Rackets + 4 Balls = 224
184 – 2 Balls + 4 Balls = 224
2 Balls +184 = 224
2 Balls = 224-184
2 Balls = 40
1 Ball = 20
Now Solve using the first equation
2 Rackets = 184 – 2 Balls
2 Rackets = 184- (2×20)
2 Rackets = 184-40
2 Rackets = 144
1 Racket = 144 ÷ 2
1 Racket = 72
