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. How many of each type of tube does the group rent? Person tube $20 Cooler tube $12.50

Answer 1

Answer: the group rented 11 Person tubes and 4 cooler tubes

Step-by-step explanation:

There are two types of tubes, Person tube and cooler tube.

Let P represent number of Person tubes that the group rented.

Let C represent number of Cooler tubes that the group rented.

The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information

P + C = 15 - - - - - - - 1

20P + 12.5C = 270 - - - -- - - 2

Substituting P = 15 - C into equation 2,

It becomes

20(15-C) + 12.5C = 270

300 - 20C + 12.5C = 270

- 20C + 12.5C = 270 -300

7.5C = - 30

C = 30/7.5 = 4

P = 15 - C

P = 15 - 4 = 11