Question

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.

Answer 1

Solve this real-world problem using a system of equations. The O’Donnells are having a birthday party for their son, and they plan to have a clown bring balloons to the party. Balloon Express charges $2 per balloon and $10 for delivery. Balloon Mania charges $1.50 per balloon and $20 for delivery. If the O’Donnells plan to order 30 balloons, which company should they choose, and how much will they save?

Answer 2

Let's set up the variables:
b = number of bags
c = number of caps

We know that the total number of items given away is 2,000, so we can write one equation:
b + c = 2,000

We also know that the cost of each bag is $10 and the cost of each cap is $5. The total cost of the bags and caps must be less than or equal to the budget of $12,500. We can write a second equation:
10b + 5c ≤ 12,500

So, the pair of linear equations that model this situation are:
b + c = 2,000
10b + 5c ≤ 12,500