Answer:
The adult tickets cost $9 and the children's tickets cost $7.
Explanation:
We can determine the cost of each type of ticket using a system of equations, where:
- A represents the cost of each adult ticket,
- and C represents the cost of each children's ticket.
First equation:
Since Javier brought 2 adult tickets and 4 children's tickets for a total of $46, our first equation is given by:
2A + 4C = 46
Second equation:
Since adult tickets cost $2 more than children's tickets, our second equation is given by:
A = C + 2
Method to solve: Substitution:
Solving for C:
We can first solve for C by substituting C + 2 for A in 2A + 4C = 46:
2(C + 2) + 4C = 46
2C + 4 + 4C = 46
(6C + 4 = 46) - 4
(6C = 46) / 6
C = 7
Therefore, children's tickets cost $7.
Solving for A:
Now, we can solve for A by plugging in 7 for C in A = C + 2:
A = 7 + 2
A = 9
Therefore, the adult tickets cost $9.