The Jackson Jammers are giving away bags and caps at their next game. The bags, &, 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.
Let's assume that the number of bags given away at the game is b and the number of caps given away is c.
The total number of items given away is given by the equation:
b + c = 2000
The cost of bags is $10 each and the cost of caps is $5 each. The total cost of the bags is $10 multiplied by the number of bags given away, and the total cost of the caps is $5 multiplied by the number of caps given away.
The total cost of the bags and caps is given by the equation:
10b + 5c = 12500
So, the pair of linear equations that model this situation are:
b + c = 2000
10b + 5c = 12500