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 $3,650 is collected.

What is the discounted price of each activity?

Let x be the discounting price of a surfing lessons per person

Let y be the discounted price of a surfing lessons per person

The cost of taking a surfing lesson and go parasailing is $130

x + y = 130(i)

25 people take

Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650(ii)

We solve for y using equ (i):

y = 130 - x (iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80

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