Answers:
It costs $15 for one adult
It costs $10 for one child
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Work Shown:
x = cost for one adult ticket (in dollars)
y = cost for one child ticket (in dollars)
"it costs $35 for one adult and two children" so the first equation is x+2y = 35. Solve for x to get x = -2y+35 (subtract 2y from both sides). We'll use this equation later. See the "replacement" step below.
"it costs $60 for two adults and three children" so the other equation to set up is 2x+3y = 60
Use the substitution rule to get rid of the x (replace it with something equivalent in terms of y) then isolate y
2x+3y = 60
2( x )+3y = 60
2( -2y+35 )+3y = 60 ... replace x with -2y+35
2(-2y)+2(35)+3y = 60
-4y+70+3y = 60
-y+70 = 60
-y+70-70 = 60-70
-y = -10
y = 10
Since y = 10, it costs $10 for one kid to get a ticket.
If y = 10, then x must be...
x = -2y+35
x = -2*10+35 ... replace y with 10
x = -20+35
x = 15
Since x = 15, it costs $15 for one adult ticket.
