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)
b + c =12,500, 10b + 5c = 2
b + c = 12.5 5b + 10c = 2000
b + c = 2 55 + 10c = 12.5
b + c = 2 10b + 5c = 12 500
b + c = 2000,
10b + 5c = 12500
To write the pair of linear equations that model this situation, we need to break down the given information.
First, we know that the bags, b, cost $10 each, and the caps, c, cost $5 each.
We are also given that the total number of items to be given away is 2,000.
Lastly, we know that the budget for these giveaways is $12,500.
From this information, we can form the following equations:
1. The total number of items equation: b + c = 2,000.
This equation represents the fact that the number of bags (b) and caps (c) given away will add up to 2,000 items.
2. The budget equation: 10b + 5c = 12,500.
This equation represents the cost of the bags and caps given away, which should not exceed the budget of $12,500.
Therefore, the pair of linear equations that model this situation is:
b + c = 2,000 (equation 1)
10b + 5c = 12,500 (equation 2)
The correct pair of linear equations that model this situation is:
b + c = 2000 (Equation 1)
10b + 5c = 12500 (Equation 2)