Can you help find an equation about trip A

A travel agency is offering two Orlando trip plans that include hotel accommodations and pairs of tickets to theme parks. Find an equation about trip A where x represents the hotel cost per night and y represents the cost per pair of theme park tickets.

Trip A: Number of nights is 3. Pairs of theme park tickets is 2. And the cost is $415

Find an equation about trip B where x represents the hotel cost per night and y represents the cost per pair of theme park tickets.

Trip B: Number of nights is 5. Pairs of theme park tickets is 4. Cost is $725

A travel agency is offering two Orlando trip plans that include hotel accommodations and pairs of tickets to theme parks. Solve a system of equations to find the nightly hotel cost and the cost for each pair of theme park tickets.

This is a simple simultaneous equations problem.

A: 3N + 2T = 415
B: 5N + 4T = 725

3N + 2T = 415 ---> 6N + 4T = 830

6N + 4T = 830
5N + 4T = 725

(6N - 5N) + (4T - 4T) = 830 - 725
N = 105

3 * 105 + 2T = 415
2T = 100
T = 50

So each pair of tickets is 50 and each night's stay is 105.

And your math book is really old. A pair of tickets to an Orlando theme park is much more expensive these days.

Trip A: 3x+2y=415

Trip B: 5x+4y=725