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=2,000; 5b+10c=12,500
b plus c equals 2,000 ; 10 b plus 10 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 plus c equals 12,500; 10b plus 5c equals 2,000
The correct pair of linear equations that model this situation is:
b + c = 2,000 (Equation 1)
10b + 5c = 12,500 (Equation 2)
To explain how to get these equations, we can break down the information provided:
The cost of each bag is $10, and let's say there are x bags.
The cost of each cap is $5, and let's say there are y caps.
The total number of items given away is 2,000, so we can create the equation:
x + y = 2,000 (Equation 1)
The budget for the Jammers is $12,500, and we know the cost of each bag and cap. So, we can create another equation by multiplying the number of bags (x) by the cost of each bag ($10) and the number of caps (y) by the cost of each cap ($5), and then adding those amounts:
10x + 5y = 12,500 (Equation 2)
Therefore, the correct pair of linear equations that model this situation is:
b + c = 2,000
10b + 5c = 12,500