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 a pair of linear equations that model this situation.

A. b + c = 12,500; 5b + 10c = 2,000
B. b + c = 12,500; 10b + 5c = 2,000
C. b + c = 2,000; 10b + 5c = 12,500
D. b + c = 2,000; 5c + 10b = 12,500

PLS HELP.

1 answer

The correct pair of linear equations that models this situation is:

D. b + c = 2,000; 5c + 10b = 12,500

This is because the first equation represents the total number of items being given away, where b represents the number of bags and c represents the number of caps. The second equation represents the cost of the items, where 10b represents the cost of the bags and 5c represents the cost of the caps.