At a state park, 3 children and 5 adults paid a total of $68 for their entrance fees, whereas 4 children and 2 adults paid
a total of $44. what is the entrance fee for 1 child?

$6

Step-by-step explanation:

Let's say C is the price of children tickets and A is the price of adult tickets.

3C + 5A = 68

4C + 2A = 44

Solve the system of equations using either substitution or elimination.  First, simplify the second equation by dividing both sides by 2:

2C + A = 22

Now if we multiply that equation by 5:

10C + 5A = 110

Subtract the first equation (elimination):

7C = 42

Solve:

C = 6

The entrance fee for 1 child is $6.

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