The Jaxson jammers are giving away bags and caps at their next game. The bags cost them at $10 each and the caps cost them five dollars each. They plan to give away 2000 total items and have a budget of 12,500 write the pair of linear equations that model this situation.

Let x be the number of bags and y be the number of caps.

The total number of items given away is 2000, so:
x + y = 2000

The cost of the bags is $10 each and the cost of the caps is $5 each. The total cost is $12,500, so:
10x + 5y = 12500

Therefore, the pair of linear equations that model this situation is:
x + y = 2000
10x + 5y = 12500