SOLUTION: A summer camp group purchases tickets for a trip to an adventure park. The number of youth going to the park is 15 times the number of adults. Tickets for youth cost $15 each and

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Question 1084068: A summer camp group purchases tickets for a trip to an adventure park. The number of youth going to the park is 15 times the number of adults. Tickets for youth cost $15 each and tickets for adults cost $25 each. The total cost of all of the tickets is $2,250, how many tickets of each type were purchased? Please set up and solve this problem following the steps below:
a) Define the unknown quantities in terms of one variable.

b) Translate the question into an equation.



c) Solve the equation, showing all work.


d) Write a complete answer to the question asked, including appropriate units.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y, how many youths
x, adults

system%28y=15x%2C15y%2B25x=2250%29

Simplify the cost equation by multiplying each member by 1%2F5:

system%28y=15x%2C3y%2B5x=450%29


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To solve, 3%2815x%29%2B5x=450 and go from there...