Maths-
General
Easy

Question

Four friends use an online coupon to get discounts on concert tickets. They spent $312 for the four tickets. What was the price of one ticket without the discount ?

hintHint:

Hint:-
1. Final Amount spent = Original cost - discount received
2. Total original cost = Number of ticketscross times Original price per ticket"

The correct answer is: Price of 1 ticket without discount is $93




    Step-by-step solution:-
    Let the original cost per ticket be $x.
    Now, Total cost of tickets as per original prices = Number of tickets * Price per ticket
    ∴ Total cost of tickets as per original prices = 4 × x …................................................... (Equation i)
    Also, as per the given diagram, we get-
    Total discount received = 4 × $ 15
    ∴ Total discount received = $ 60 .......................................................................................... (Equation ii)
    Final Amount spent on the tickets = Original cost - total discount
    ∴ Final Amount spent on the tickets = 4x - 60 .................................................................... (From Equation i & ii)
    ∴ 312 = 4x - 60 .................................................................... (From given information)
    ∴ 312 + 60 = 4x ........................................................................... (Taking all the constants on LHS)
    ∴ 372 = 4x
    ∴ 252/4 = x .............................................................................. (Dividing both sides by 4)
    ∴ 93 = x
    Final Answer:-
    ∴ Price of 1 ticket without discount is $93.

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