Problema Solution

A group of 3 children and 2 aduls pay a total of $120 to take a karate class. A group of 5 children and 1 adult take the same class for $95. What is the total cost for 1 child and 1 adult to take the karate class?

Answer provided by our tutors

let


a = the cost for 1 adult

c = the cost for a child


A group of 3 children and 2 adults pay a total of $120 to take a karate class


3c + 2a = 120


A group of 5 children and 1 adult take the same class for $95


5c + a = 95


by solving the system of equations


3c + 2a = 120

5c + a = 95


we find


a = $45


c = $10


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the cost for 1 child is $10.

the cost for 1 adult is $45.