Devon purchased tickets to an air show for 7 adults and 2 children The total cost was $123. The cost of a child's ticket was $6 less than the cost of an adult's ticket. What is the price of an adult and child ticket?

Kiana Arias

Kiana Arias

Answered question

2022-09-08

Devon purchased tickets to an air show for 7 adults and 2 children The total cost was $123. The cost of a child's ticket was $6 less than the cost of an adult's ticket. What is the price of an adult and child ticket?

Answer & Explanation

empatiji2v

empatiji2v

Beginner2022-09-09Added 18 answers

There are two pieces of information here, so we will break them down and make two equations.
I will give adult's ticket the variable a and child's ticket the variable c.
So we know that Devon purchased 7 adult's tickets and 5 child's tickets and the resulting cost was $123 dollars. Let's make thing into an equation:
7 adult tickets + 5 child tickets = $123
7a+5c=123
The second parts says that the child's ticket is 6 less than the adult's ticket. "6 less" mean that we are going to subtract.
child's ticket = adult's ticket - 6
c=a−6
Okay, know we can substitute that second equation into the first one and solve:
7a+5c=123
7a+5(a−6)=123
7a+5a−30=123
12a−30=123
12a=153
a=12.75
The adult's ticket is $12.75. Now substitute that into these second equation and solve:
c=a−6
c=(12.75)−6
c=6.75
The child's ticket costs $6.75.

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