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

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

Answer 1

To model the situation described, we need two equations based on the information given about the bags and caps.

1. Total number of items equation: The total number of items (bags and caps) they plan to give away is 2,000. This can be represented as: \[ b + c = 2000 \] where \( b \) is the number of bags and \( c \) is the number of caps.

2. Budget equation: The total cost for the bags and caps cannot exceed their budget of $12,500. The cost contribution from the bags (which cost $10 each) and caps (which cost $5 each) can be expressed as: \[ 10b + 5c = 12500 \]

So the pair of linear equations that model this situation is: \[ b + c = 2000 \] \[ 10b + 5c = 12500 \]

Thus, the correct option is: b+c=2000; 10b+5c=12500.