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# 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?

Hint:

### 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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