Question

A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use $x$ to represent the number of one-person tubes rented and $y$ to represent the number of cooler tubes rented. How many of each type of tube does the group rent?

Answer 1

the group rents is 11 person tubes and there is 4 cooler tubes

Explanation:

The computation is shown below:

The equation are as follows:

x + y = 15

y = 15 - x

And, the cost of person tube is $20

The cost of the cooler tube is $12.50

The total spending is $270

Now the equation is

20x + 12.50y = 270

Now put the value of y in the above equation

20x + 12.50(15 - x) = 270

20x + 187.50 - 12.50x = 270

20x - 12.50x + 187.50 = 270

7.50x + 187.50 = 270

7.50x = 270 - 187.50

7.50x = 82.50

x= 11

Now put the value of y in any of the equation

y = 15 - 11

= 4

So, the group rents is 11 person tubes and there is 4 cooler tubes