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=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
b plus c equals 2,000 ; 10 b plus 10 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 2,000 ; 5b plus 10c equals 12,500
b plus c equals 12,500 ; 5 b plus 10 c equals 2,000
The correct pair of linear equations that model this situation is:
b + c = 2,000 and 10b + 5c = 12,500.
To arrive at this answer, we need to consider the given information:
1. The Jackson Jammers plan to give away a total of 2,000 items.
2. The budget they have is $12,500.
Let's break it down step by step:
Step 1: Determine the variables:
Let b represent the number of bags given away.
Let c represent the number of caps given away.
Step 2: Set up the first equation:
The total number of items given away is the sum of bags and caps, which equals 2,000.
Therefore, the first equation is b + c = 2,000.
Step 3: Set up the second equation:
The cost of bags is $10 each, so the total cost of bags given away is 10b.
The cost of caps is $5 each, so the total cost of caps given away is 5c.
The total budget they have is $12,500.
Therefore, the second equation is 10b + 5c = 12,500.
Thus, the correct pair of linear equations that model this situation is b + c = 2,000 and 10b + 5c = 12,500.