Question

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.(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

Answer 1

To model the situation with the Jackson Jammers giving away bags and caps, we need to set up two linear equations based on the information provided:

1. The total number of items (bags and caps) they plan to give away is 2,000. This can be represented by the equation: $$b+c=2000$$ where $b$ is the number of bags and $c$ is the number of caps.

2. The total cost of the items must adhere to their budget of $12,500. The cost of each bag is $10 and the cost of each cap is $5. Hence, this relationship can be expressed with the equation: $$10b+5c=12500$$

Putting these two equations together, we have the pair of linear equations that model the situation:

\[ \begin{align*}

1. & \quad b + c = 2000 \
2. & \quad 10b + 5c = 12500 \end{align*} \]

Conclusion: The correct response from the options given would be:

• b + c = 2000; 10b + 5c = 12,500