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Answer :
The price of one adult ticket is 5 and price of one child ticket is 12.
Step-by-step explanation:
Let,
Price of one senior ticket = x
Price of one child ticket = y
According to given statement;
4x+4y=68 Eqn 1
12x+5y=120 Eqn 2
Multiplying Eqn 1 by 3
[tex]3(4x+4y=68)\\12x+12y=204\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](12x+12y)-(12x+5y)=204-120\\12x+12y-12x-5y=84\\7y=84\\[/tex]
Dividing both sides by 7
[tex]\frac{7y}{7}=\frac{84}{7}\\y=12[/tex]
Putting y=12 in Eqn 1
[tex]4x+4(12)=68\\4x+48=68\\4x=68-48\\4x=20[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{20}{4}\\x=5[/tex]
The price of one adult ticket is 5 and price of one child ticket is 12.
Keywords: linear equation, elimination method
Learn more about elimination method at:
- brainly.com/question/12773544
- brainly.com/question/1279756
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