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

Answer 1

[AI-generated answer — Bot GPT 3.5]

b+c = 2000;

10b+5c = 12500

Answer 2

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

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

Answer 3

[AI-generated answer — Explain Bot]

The linear equations that model this situation can be derived from the given information as follows:

Let's represent the number of bags as "b" and the number of caps as "c".

1. The first equation represents the total number of items given away: b + c = 2000. This equation states that the sum of bags and caps is equal to 2000 items.

2. The second equation represents the total cost of the items given away: 10b + 5c = 12500. This equation states that the cost of bags (which is $10 each) multiplied by the number of bags, plus the cost of caps (which is $5 each) multiplied by the number of caps, is equal to the total budget of $12500.

Therefore, the correct pair of linear equations that model this situation is:

b + c = 2000,
10b + 5c = 12500.