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.

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) (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 = = 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

RELATED QUESTIONS
a dealer sold 200 tennis racquets. Some were sold at $18 each and the rest were sold at... (answered by scott8148)

a store sold 40 more cd's last month they sold a a video game for $33 and a cd for $18... (answered by jorel555)

250 tickets to a show were sold,some at 200 and others at R300 the total amount of money... (answered by ikleyn)

In one month a store sold pads of paper, some for $9, some for $2, and some for 50 cents. (answered by greenestamps)

In one month a store sold pads of paper, some for $9, some for $2 and some for $0.50. A... (answered by greenestamps)

In one month a store sold pads of paper, some for $14, some for $5 and some for 50¢. A... (answered by math_tutor2020,greenestamps)

In one month a store sold pads of paper, some of $9, some for $2 and some for $0.50. A... (answered by greenestamps)

One week, a shops sold 42 boxes of stationary, some at $5 a box and some at $7 a box. The (answered by ewatrrr)

System Of Two Linear Equation Question : A bookstore sold 18 books for a total of $176 . (answered by Cromlix)