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
The given pair of angles are vertical opposite angle pair so, they are equal. i.e
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