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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) Ob+c= 12, 500; 5b + 10c = 2,000 Ob+c= 12,500; 10b + 5c = 2,000 Ob+c=2,000; 5b+10c = 12, 500 Ob+c=2,000; 106 + 5c = 12,500
Ob+c= 12,500; 5b + 10c = 2,000
The correct pair of linear equations that model this situation is:
ob + c = 12,500
5b + 10c = 2,000
To write the pair of linear equations that model this situation, we need to consider the given information.
We know that the bags, b, cost $10 each, and the caps, c, cost $5 each. So, the cost of bags can be represented as 10b, and the cost of caps can be represented as 5c.
We also know that the Jackson Jammers are giving away a total of 2,000 items. This means that the number of bags and caps given away must add up to 2,000. So, the expression for the total number of items given away can be represented as b + c.
Finally, we know that the Jackson Jammers have a budget of $12,500. This means that the total cost of the bags and caps must not exceed $12,500. So, the expression for the total cost can be represented as 10b + 5c.
Putting it all together, we have the following pair of linear equations:
b + c = 2,000 (Equation 1)
10b + 5c = 12,500 (Equation 2)
Therefore, the correct answer is:
Ob+c = 2,000; 10b + 5c = 12,500