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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 ; 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 ; 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

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To model the situation with a pair of linear equations, let's define the variables:

  • Let \( b \) represent the number of bags.
  • Let \( c \) represent the number of caps.

From the problem statement, we have the following information:

  1. The total number of items (bags and caps) is 2,000: \[ b + c = 2000 \]

  2. The total cost for the bags and caps must not exceed the budget of $12,500. Given that each bag costs $10 and each cap costs $5, the cost equation can be set up as: \[ 10b + 5c = 12500 \]

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

  1. \( b + c = 2000 \)
  2. \( 10b + 5c = 12500 \)

Thus, the correct response from the options provided would be: \( b + c = 2000 ; 10b + 5c = 12500 \)