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Answer :
Answer:
One senior citizen ticket costs 4 dollars and one child ticket costs 7 dollars
Step-by-step explanation:
Let x be the cost of a senior ticket and y be the cost of a child ticket then...
3x+9y=75
8x+5y=67
We can simplify the first equation by dividing everything by 3...
x+3y=25
Now, isolate x by subtracting 3y from both sides
x=25-3y
We can solve this system of equations using substitution (substitute 25-3y for x)...
8(25-3y)+5y=67
200-24y+5y=67
Combine like terms
-19y+200=67
Subtract 200 from both sides
-19y=-133
Divide both sides by -19
y=7
Plug 7 back in for y to solve for x
x=25-3(7)=25-21=4
One senior citizens ticket costs 4 dollars and one child ticket costs 7 dollars.
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