Question

A hotel offers two activity packages. One costs $192 and includes 3 h

of horseback riding and 2 h of parasailing. The second costs $213 and includes
2 h of horseback riding and 3 h of parasailing. What is the cost for 1 h of each
activity?

Answer 1

Let x = Horseback riding and y = Parasailing

Eq. 1

3x + 2y = 192

Eq. 2

2x + 3y = 213

By elimination:

2(3x + 2y = 192)

+ -3(2x + 3y = 213)

-5y = - 255

y = $ 51

Substitute y :

3x + 2y = 192

3x + 2(51) = 192

x = $ 30

Hope this answer will be a good help for you.