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=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

Answer 1

To model the situation involving the Jackson Jammers giving away bags and caps, we need to establish two equations based on the provided information:

1. The first equation will represent the total number of items given away (bags and caps). They plan to give away a total of 2,000 items, which can be represented as: \[ b + c = 2000 \]

2. The second equation will represent their budget. The cost of each bag is $10 (for \(b\) bags) and the cost of each cap is $5 (for \(c\) caps). Their total budget is $12,500, which can be expressed as: \[ 10b + 5c = 12500 \]

Thus, the correct pair of linear equations that model this situation is: \[ b + c = 2000 \] \[ 10b + 5c = 12500 \]

Therefore, the correct selection from the options given would be:

• b + c = 2000; 10b + 5c = 12500.