SOLUTION: A group of 30 tourists pay a total of $120 to enter a park. Each adult is charged $5, and each child is charged $2. Write a system of equations that can be used to determine the

Question 808150: A group of 30 tourists pay a total of $120 to enter a park. Each adult is charged $5, and each child is charged $2. Write a system of equations that can be used to determine the admission price to the park of an adult (A)and a child (C).
My teacher said they were A+C=30
AND
5A+2C=120
Then, how many children (C) and in the group?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A group of 30 tourists pay a total of $120 to enter a park. Each adult is charged $5, and each child is charged $2. Write a system of equations that can be used to determine the admission price to the park of an adult (A)and a child (C).
Quantity Equation: A+C = 30 tickets
AND
Value Equation:::: 5A+2C = 120 dollars
-------------------------
Then, how many children (C) and in the group?
-----
Modify for elimination::
5A + 5C = 5*30
5A + 2C = 120
-----
Subtract and solve for "C"::
3C = 30
C = 10 (# of child tickets sold)
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Cheers,
Stan H.
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