SOLUTION: The NC Zoo has different admission prices for adults and children. When Mr. And Mrs. Weaver went with their 3 children the bill was $30. When Mrs. Weaver went with 2 of her childre

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Question 1003497: The NC Zoo has different admission prices for adults and children. When Mr. And Mrs. Weaver went with their 3 children the bill was $30. When Mrs. Weaver went with 2 of her children they got in for $15. What is the price of an adult’s ticket and what is the price of a child’s ticket? Please include steps.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y, prices for children and adults.


Here is the literal translation from worded description into a system of equations:
system%283x%2B2y=30%2C2x%2By=15%29

The steps are very simple. Use the Elimination Method, at least for finding x.
Multiply the second equation by 2:
system%283x%2B2y=30%2C4x%2B2y=30%29
This is to use Elimination Method for finding x.
4x%2B2-%283x%2B2%29=30-30
highlight%28x=0%29-------Children can attend the zoo for free.

Taking second equation of the system,
y=15-2x
y=15-2%2A0
highlight%28y=15%29