The Jackson Jammers are giving away bags and caps at their next game. The bags, b, cost them $10 each, and the caps, c, cost them $5 each. They plan to give away 2,000 total items and have a budget of $12,500. Write the pair of linear equations that model this situation.

Answer 1

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

The first equation represents the total number of items given away:

x + y = 2000

The second equation represents the cost of giving away these items:

10x + 5y = 12500

Simplifying the second equation by dividing both sides by 5, we get:

2x + y = 2500

Therefore, the pair of linear equations are:

x + y = 2000
2x + y = 2500