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; 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=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
b+c=2000; 10b+5c=12500
The pair of linear equations that model this situation can be derived as follows:
Let b represent the number of bags and c represent the number of caps.
Equation 1: The total number of items given away is 2,000 items.
This equation is simply the sum of the number of bags (b) and the number of caps (c) equaling 2,000. Therefore, the equation is b + c = 2,000.
Equation 2: The budget for the giveaway is $12,500.
To determine the cost of the giveaway, we need to multiply the cost of each bag ($10) by the number of bags (b) and multiply the cost of each cap ($5) by the number of caps (c). The sum of these costs should equal $12,500. Therefore, the equation is 10b + 5c = 12,500.
So, the correct pair of linear equations that model this situation is:
b + c = 2,000
10b + 5c = 12,500
The correct pair of linear equations that model this situation is:
b + c = 2000
10b + 5c = 12500