The Jackson Jammers are giving away bags and caps at their next game. The bags, b

Question

, 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
; 5b+10c=2,000
b plus c equals 12,500 ; 5 b plus 10 c equals 2,000

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
; 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

Answer 1

To model the situation correctly, let's break down the information provided:

1. The total number of items (bags and caps) they plan to give away is 2,000.
2. The cost of the bags (b) is $10 each, and the cost of the caps (c) is $5 each.
3. They have a total budget of $12,500.

From this information, we can create the following equations:

1. The first equation represents the total number of items: \[ b + c = 2,000 \]

2. The second equation represents the total cost of the bags and caps: \[ 10b + 5c = 12,500 \]

So, the correct pair of linear equations that model this situation is:

• \(b + c = 2,000\)
• \(10b + 5c = 12,500\)

Therefore, the correct response is: b + c = 2,000 ; 10b + 5c = 12,500.