The Jackson Jammers are giving away bags and caps at their next game. The bags, b

Question

, 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

To model the situation with the Jackson Jammers using a pair of linear equations, we need to set up the equations based on the information provided.

1. The total number of items (bags and caps) they plan to give away is 2,000. This gives us the first equation:

   \( b + c = 2000 \)

   where \( b \) is the number of bags and \( c \) is the number of caps.

2. The total cost of the items must not exceed the budget of $12,500. The cost of each bag is $10, and the cost of each cap is $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. \( 10b + 5c = 12500 \)

So the correct response is:

b + c = 2000 ; 10b + 5c = 12500