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)

Question

Responses

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

Answer 1

To model the situation with the correct pair of linear equations, we analyze the details:

1. Let \( b \) represent the number of bags and \( c \) represent the number of caps.
2. The total number of items (bags and caps) they plan to give away is 2,000.
3. The cost of each bag is $10 and the cost of each cap is $5, with a budget of $12,500.

From this information, we can set up the following equations:

1. The first equation represents the total number of items: \[ b + c = 2,000 \]

2. The second equation represents the total cost of the bags and caps: \[ 10b + 5c = 12,500 \]

Putting it all together, the correct pair of linear equations is: \[ b + c = 2,000 \] \[ 10b + 5c = 12,500 \]

Thus, the correct response from the options provided would be:

• \( b + c = 2,000; \quad 10b + 5c = 12,500 \)