Question

Try It! On Saturday, the vacation resort offers a discount on water sports. To takea surfing lesson and go parasailing costs $130. That day, 25 people takesurfing lessons, and 30 people go parasailing. A total of $3,650 is collected.What is the discounted price of each activity?CHECK ANSWER

Answer 1

Let the cost of surfing lesson be x and the cost of Parasiling be y

From the question, both surfing lesson and parasailing cost $130

Hnece;

x + y = 130 ---------------------------(1)

From the question, 25 people take surfing lesson and 30 pupil went for parasailing and a total of $3, 650 was collected

Hence;

25x + 30y = 3650--------------------------------(2)

We can now solve equation (1) and (2) simultaneously

Using elimination method,

multiply through equation(1) by 30

30 x + 30 y = 3900 ------------------(3)

subtract equation(1) from equation (3)

5x = 250

divide both-side of the equation by 5

x = 50

substitute x = 50 into equation (1) and then solve for y

x + y = 130

50 + y = 130

subtract 50 from both-side of the equation

y = 130 - 50

y =80

Therefore, the discount price of Surfing lesson is $50 while the discount price for parasailing is $80