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Question

On Saturday , the vacation resort offers a discount on water sports. To take a surfing lesson and go parasailing costs $130. That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected. What is the discounted price of each activity?

hintHint:

let us assume the discounted prices to be x and y . Derive the system of equations from the given conditions and solve them to get the discounted prizes.

The correct answer is: The discounted cost of surfing lessons and go parasailing be $50 and $80 respectively.


    Ans :- The discounted cost of surfing lessons and go parasailing be $50 and $80 respectively.
    Explanation :-
    Step 1:-Derive the system of equations from the given conditions
    Let the discounted cost of surfing lessons and go parasailing be x and y respectively. To take a surfing lesson and go parasailing costs $130.
    X + y  = 130—Eq1
    That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected.
    25x + 30y = 3650 —Eq2
    Step 2:-eliminate y to find x
    Doing 30(Eq1) - Eq2 to eliminate y
    30(x + y)-(25 x + 30y) = 30(130) - 3650
    ⇒ 30x - 25x = 3900 - 3650
    ⇒ 5x = 250
    ∴ x = $ 50
    Step 3:- substitute value of x to find y
    X + y = 130
    50 + y = 130 ⇒  y = 130-50
    ∴ y = $ 80
    ∴ The discounted cost of surfing lessons and go parasailing be $50 and $80 respectively.

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