Question

he 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
; 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
; 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, we need to establish the following:

1. **Total Items Equation**: The total number of bags (b) and caps (c) given away is 2,000. This can be represented by the equation:
\[
b + c = 2000
\]

2. **Budget Equation**: The total cost of the bags and caps must not exceed $12,500. Since the bags cost $10 each and the caps cost $5 each, the budget constraint can be represented by the equation:
\[
10b + 5c = 12500
\]

Thus, the correct pair of linear equations that models the situation is:
1. \( b + c = 2000 \)
2. \( 10b + 5c = 12500 \)

Therefore, the response that matches this is:
- **b + c = 2000**; **10b + 5c = 12500**.