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Answer :
Final answer:
This is an algebra problem to find the price of senior citizen and child tickets. After solving the linear equations, we find that senior citizen tickets are $1.67 and child tickets are $3.33, but there seems to be an error with the options given.
The correct answer is C.
Explanation:
The subject of this problem is algebra, specifically solving a system of linear equations. To find the price of a senior citizen ticket and the price of a child ticket, we need to deal with two equations based on the information given.
The two equations are:
- 14*S + 2*C = $52
- 6*S + 7*C = $53
where S stands for the price of a senior citizen ticket and C stands for the price of a child ticket. Multiply the first equation by 3 and the second equation by 2 to eliminate variable C when subtracted.
- 42*S + 6*C = $156
- 12*S + 14*C = $106
Subtract the second equation from the first, getting 30*S = $50, which results in S = $50/30 = $1.67. Substituting S = $1.67 into the first original equation, we get 14*$1.67 + 2*C = $52, simplify it, which leads to C = $3.33. So senior citizen tickets are $1.67 and child tickets are $3.33. However, in the choices given there seems to be no matching option, so the given options might have a typo or the question itself may have an error.
Learn more about Solving Linear Equations here:
brainly.com/question/29775795
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