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)
A. b + c = 12,500; 10b + 5c = 2, 000
B. b + c = 2, 000; 10b + 5c = 12,500
C. b + c = 12,500; 5b + 10c = 2, 000
D. b + c = 2, 000; 5b + 10c = 12, 500
B. b + c = 2,000; 10b + 5c = 12,500
The correct pair of linear equations that model this situation is:
B. 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 and caps they plan to give away and the cost of each item.
Let's define:
b = number of bags
c = number of caps
Based on the given information, we can form the following equations:
1) The total number of items they plan to give away is 2,000:
b + c = 2,000
2) The budget they have is $12,500:
10b + 5c = 12,500
Therefore, the correct pair of linear equations that model this situation is:
B. b + c = 2,000; 10b + 5c = 12,500