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Answer :
Final answer:
The price of a senior citizen ticket is $8, and the price of a child ticket is $13. Let's denote the price of a senior citizen ticket as x and the price of a child ticket as y. The price of a senior citizen ticket and the price of a child ticket. We can use a system of equations.
Explanation:
To find the price of a senior citizen ticket and the price of a child ticket, we can use a system of equations. Let's denote the price of a senior citizen ticket as x and the price of a child ticket as y. Using the given information, we can set up the following equations:
4x + 14y = 214 (equation 1)
7x + 7y = 147 (equation 2)
We can solve this system of equations by either substitution or elimination. Let's use elimination to eliminate the variable x. Multiply equation 1 by 7 and equation 2 by 4: 28x + 98y = 1498 (equation 3)
28x + 28y = 588 (equation 4)
Subtract equation 4 from equation 3: 28x - 28x + 98y - 28y = 1498 - 588 and 70y = 910
Divide both sides by 70: y = 13
Substitute the value of y back into equation 2:
7x + 7(13) = 147
7x + 91 = 147
Subtract 91 from both sides: 7x = 56
Divide both sides by 7: x = 8
Therefore, the price of a senior citizen ticket is $8, and the price of a child ticket is $13.
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