Question

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

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

Answer 1

To model the situation described, we have two key pieces of information:

1. The total number of items (bags and caps) is 2,000. Therefore, the first equation represents the total count: $$b+c=2000$$ where $b$ is the number of bags and $c$ is the number of caps.

2. The budget constraint, which says that the total cost of the bags and caps should not exceed $12,500. The total cost for bags is $10b$ (since each bag costs $10) and for caps is $5c$ (since each cap costs $5). This gives us the second equation: $$10b+5c=12500$$

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

1. $b+c=2000$
2. $10b+5c=12500$

The correct response matching these equations is:

• $b+c=2000$; $10b+5c=12500$