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
Let x be the number of bags and y be the number of caps.
The total number of items given away is 2,000, so:
x + y = 2,000
The cost of the bags is $10 each and the cost of the caps is $5 each, so the total cost of the bags and caps cannot exceed $12,500, so:
10x + 5y = 12,500
Therefore, the pair of linear equations that model this situation are:
x + y = 2,000
10x + 5y = 12,500