Answer:
The charge for admission is $6 and the charge for each ride is $2
Step-by-step explanation:
Let
x ----> the charge for admission
y ----> the charge for each ride
we have that
[tex]x+2y=10[/tex] -----> equation A
[tex]x+5y=16[/tex] -----> equation B
Solve the system by elimination
Subtract equation B from equation A
[tex]x+2y=10\\-(x+5y)=-16\\---------\\2y-5y=10-16\\-3y=-6\\y=2[/tex]
Find the value of x
substitute the value of y in any equation
[tex]x+2(2)=10[/tex]
[tex]x+4=10[/tex]
[tex]x=10-4[/tex]
[tex]x=6[/tex]
therefore
The charge for admission is $6 and the charge for each ride is $2
