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Answer :
Answer:
A
Step-by-step explanation:
If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.
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The price of a senior citizen and child ticket is required.
The correct option is A) senior citizen ticket: $13, child ticket: $5
System of linear equations
Let [tex]x[/tex] be the price of senior citizen ticket
[tex]y[/tex] be the price of child ticket
The equations will be
[tex]10x+8y=170[/tex]
[tex]10x+11y=185[/tex]
Subtracting the equations
[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]
Finding [tex]x[/tex]
[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]
Learn more about system of linear equations:
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