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.
Responses
b+c=12,500; 10b+5c=2,000
b+c=12,500; 5b+10c=2,000
b+c=2,000; 10b+5c=12,500
b+c=2,000; 5b+10c=12,500
b+c=2000; 10b+5c=12500
b+c=2,000; 10b+5c=12,500
The correct pair of linear equations that models this situation is:
b + c = 2000 (equation 1) - This equation represents the total number of items being given away, which is 2000.
10b + 5c = 12500 (equation 2) - This equation represents the total cost of the items being given away, which is $12500. The bags cost $10 each, so the cost of the bags is 10b. The caps cost $5 each, so the cost of the caps is 5c. The total cost is the sum of the cost of bags and the cost of caps, which is 10b + 5c.
Therefore, the correct answer is b + c = 2000; 10b + 5c = 12500.