Question

A ropes course facility offers two types of courses, a low rope course and a high rope course. The price of a high rope course is five times as much as a low rope adventure. Eleven members of the high school adventure club choose to participate in the low ropes course, and 18 members choose the high ropes course. The total cost is $1,919. What is the price of each type of ropes course adventure.

Answer 1

Answer:

Low rope course = $19

High rope course = $95

Step-by-step explanation:

Let H denote the price of the high rope course and L the price of the low rope adventure.

The following system can be modeled from the given information:

$5L=H\\11L+18H=1,919$

Replacing the first equation into the second gives us the price of the low rope course:

$11L+18*(5L)=1,919\\L=\frac{1,919}{101}\\L=\ 19$

Now we can determine the price of the high rope course:

$H=5*19\\H=\ 95$

The low rope course costs $19 and the high rope course costs $95.