Ann Marie Jones has been pricing Amtrak train fares for a 2 group trip to New York. Three adults and four children must pay $159. Two adults and three children must pay $112. How do find the price of the tickets?
One of the solutions is shown below;
This method is known as the subsitution method and as the answer suggest, the price of one ticket for an adult would be $29 and the price of one ticket for a child would be $18.
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To find the price of the tickets, you can set up a system of equations based on the given information. Let x represent the cost of an adult ticket and y represent the cost of a child ticket.
From the first scenario with three adults and four children paying $159: 3x + 4y = 159
From the second scenario with two adults and three children paying $112: 2x + 3y = 112
Now, you can solve this system of equations to find the values of x and y, which represent the cost of adult and child tickets, respectively. Once you have the values of x and y, you can calculate the total cost of the tickets for the group trip.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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