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.(1 point)
Responses
b+c=12,500; 10b+5c=2,000
b plus c equals 12,500 ; 10 b plus 5 c equals 2,000
b+c=2,000; 10b+5c=12,500
b plus c equals 2,000 ; 10 b plus 5 c equals 12,500
b+c=12,500; 5b+10c=2,000
b plus c equals 12,500 ; 5 b plus 10 c equals 2,000
b+c=2,000; 5b+10c=12,500
b plus c equals 2,000 ; 5 b plus 10 c equals 12,500
b+c=2,000; 10b+5c=12,500
To write the pair of linear equations that model this situation, we need to consider the number of bags, b, and caps, c, and their respective costs and quantities.
The total number of items given away is 2,000, so the first equation is the sum of bags and caps equal to 2,000:
b + c = 2,000
The total cost of the bags and caps is $12,500. 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. Therefore, the second equation is the sum of the cost of bags and caps equal to $12,500:
10b + 5c = 12,500
Therefore, the correct pair of linear equations that model this situation is:
b + c = 2,000
10b + 5c = 12,500