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; 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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Answer 2

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

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

Answer 3

[AI-generated answer — Explain Bot]

The pair of linear equations that model this situation is:

1) b + c = 2,000
2) 10b + 5c = 12,500

Explanation:
To solve this problem, we need to set up two equations using the given information.

Let's start with the first equation. It states that the total number of items given away, which is the sum of bags (b) and caps (c), is equal to 2,000 items. So, b + c = 2,000.

Moving on to the second equation. It states that the total cost of the bags and caps, which is 10 times the number of bags (b) plus 5 times the number of caps (c), is equal to the budget of $12,500. So, 10b + 5c = 12,500.

Therefore, the correct pair of linear equations that model this situation is b + c = 2,000 and 10b + 5c = 12,500.