The Jackson jammers are giving away bags and caps at their next game. The bags, b, cost them $10 each and the caps l, c, are $5 each. They planned to give away 2000 total items and have a budget of $12,500. Write the pair of linear equations that model this situation
Let's define the variables: b - number of bags, and c - number of caps.
The first equation represents the total number of items: b + c = 2000.
The second equation represents the total cost of the items: 10b + 5c = 12500.
Let's define the variables:
b = number of bags
c = number of caps
According to the given information, we can form the following equations:
1) The total number of items given away is 2000:
b + c = 2000
2) The total budget spent on bags and caps is $12,500:
10b + 5c = 12500
Therefore, the pair of linear equations that model this situation are:
b + c = 2000
10b + 5c = 12500
To write a pair of linear equations that model this situation, we need to define two variables: the number of bags (b) and the number of caps (c).
Equation 1: The total number of items given away:
Since the number of items given away is the sum of the number of bags and the number of caps, we can write the equation as:
b + c = 2000
Equation 2: The total cost of the items:
Since each bag costs $10 and each cap costs $5, we can calculate the total cost using the respective quantities:
10b + 5c = 12500
So, the pair of linear equations that model this situation is:
Equation 1: b + c = 2000
Equation 2: 10b + 5c = 12500