Question

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?

Answer 1

The children is 6$ and the adults are 10$ so therefore one child is 6$ to get it

Answer 2

$6

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.