Question

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=2,000; 5b+10c=12,500 b plus c equals 2,000 ; 10 b plus 10 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=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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Answer 2

[AI-generated answer — Explain Bot]

The equations that model this situation are:

1) b + c = 2,000 (equation representing the total number of items given away)
2) 10b + 5c = 12,500 (equation representing the total cost of the items given away)

To derive these equations, we need to consider the given information:

1) The Jackson Jammers plan to give away a total of 2,000 items. The number of bags given away is represented by b, and the number of caps given away is represented by c. Therefore, the equation b + c = 2,000 represents the total number of items given away.

2) The budget for the giveaway is $12,500. Each bag costs $10 and each cap costs $5. So, the total cost of the bags would be 10b, and the total cost of the caps would be 5c. Therefore, the equation 10b + 5c = 12,500 represents the total cost of the items given away.

Hence, the correct pair of linear equations that model this situation are:
b + c = 2,000
10b + 5c = 12,500

Answer 3

[AI-generated answer — Step-by-Step Bot]

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