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Question

A charity is planning a concert  to raise money. There are 135 stall tickets and 70 deluxe tickets. The cost of deluxe tickets is 20 percent more than a stall ticket plus an additional 1.50$. The concert organizing committee expects to sell all the tickets and raise 2750$ from the ticket sales. Which of the following system of equations can be used to determine the price, s of each stall tickets and the price, d, of each deluxe ticket ?
  1. 70d + 135s = 2750 ; d - 1.50s = 1.20
  2. 70d + 135s = 2750 ; d - 1.20s= 1.50
  3. 135s + 70d = 2750 ; d - 1.50s = 1.20
  4. 135s + 70d = 2750 ; d - 1.20s = 1.50


Solution

The correct option is D 135s + 70d = 2750 ; d - 1.20s = 1.50

Step 1 : Underline the keywords
A charity is planning a concert  to raise money. There are 135 stall tickets and 70 deluxe tickets. The cost of deluxe tickets is 20 percent more than a stall ticket plus an additional 1.50$. The concert organizing committee expects to sell all the tickets and raise 2750$ from the ticket sales. Which of the following system of equations can be used to

Step 2 : Recognize the variables : s and d
Decipher the relation b/w the variables :
1.
cost of deluxe tickets is 20 percent more than a stall ticket plus an additional 1.50$:d=1.20s+1.50
2. 135 stall tickets and 70 deluxe tickets. Also, committee expects to sell all the tickets and raise 2750$ from the ticket sales : 135 s + 70 d = 2750.
Thus, the system of equation are

135 s + 70 d = 2750 and d = 1.20 s + 1.50.
Rewriting, the second equation : d - 1.20 s = 1.50
Hence, option B is correct.

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