SOLUTION: A store sold 200 racquets. Some sold for $33 and some sold for $18. The total value of the racquets sold was $4,800. How many racquets sold for $33 and how many sold for $18.

Algebra ->  Linear-equations -> SOLUTION: A store sold 200 racquets. Some sold for $33 and some sold for $18. The total value of the racquets sold was $4,800. How many racquets sold for $33 and how many sold for $18.      Log On


   

Question 2431: A store sold 200 racquets. Some sold for $33 and some sold for $18. The total value of the racquets sold was $4,800. How many racquets sold for $33 and how many sold for $18.
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

Let us say the racquets sold at lower rate = x
Let us say the racquets sold at higher rate = y
Now, we will frame equations. The total racquets sold = 200
So x + y = 200 ...... (1)
In all the total amount received = $4800
So 18x + 33y = 4800 ...... (2)
(1)*18, we get
18x + 18y = 3600 ...... (3)
(2)-(3), we get
15y = 1200
So Y = 1200%2F15 = 80
Substituting the value of y in the eq.(1), we get
x + 80 = 200 i.e x = 200-80 = 120
So the no. of racquets sold at $18 = 120
the no. of racquets sold at $33 = 80 Answer.
gsm