Answer:
He sold 100 rackets for $ 20
Step-by-step explanation:
To start, we have to make 2 equations, one that represents the number of rackets and the other the money
x + y = 500
x * 20 + y * 45 = 20000
we clear x in the first equation
x + y = 500
x = 500 - y
we replace x in the second equation with (500 - y)
x * 20 + y * 45 = 20000
(500 - y) * 20 + y * 45 = 20000
10000 - 20y + 45y = 20000
-20y + 45y = 20000 - 10000
25y = 10000
y = 10000/25
y = 400
we replace x in the first equation with the value obtained
x = 500 - y
x = 500 - 400
x = 100
He sold 100 rackets for $ 20
Answer: they sold 100 racquets at $20 each.
Step-by-step explanation:
Let x represent the number of tennis racquets that were sold at $20 each.
Let y represent the number of tennis racquets that were sold at $45 each.
A dealer sold 500 tennis racquets some were sold at $20 each and the rest were sold at $45 each. It means that
x + y = 500
The total receipts from these sales were $20000. This means that
20x + 45y = 20000- - - - - - - - - -1
Substituting x = 500 - y into equation 1, it becomes
20(500 - y) + 45y = 20000
10000 - 20y + 45y = 20000
- 20y + 45y = 20000 - 10000
25y = 10000
y = 10000/25
y = 400
x = 500 - 400
x = 100
