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

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

Answer 1

To model the situation, we need to create two equations that represent the total number of items and the total cost.

1. For the total number of items given away (bags and caps), the equation is: \[ b + c = 2000 \]

2. For the total cost, since bags cost $10 each and caps cost $5 each, the equation is: \[ 10b + 5c = 12500 \]

Thus, the correct pair of linear equations is: \[ b + c = 2000 \] \[ 10b + 5c = 12500 \]

So the response would be: "b + c = 2000; 10b + 5c = 12,500".