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?

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.