At the Henderson middle school award ceremony the principal is going to honor outstanding students with gift cards. The gift cards for excellent grades G are worth $40 in the gift cards for perfect attendance a are worth $25. The principal has $4000 allotted for this event, and he is going to recognize 100 students write the pair of linear equations that model the situation.

1 answer

Let's assume that the number of students receiving excellent grades is x and the number of students receiving perfect attendance is y.

Based on the given information, we can create the following equations:

1) The total number of students being recognized is 100:
x + y = 100

2) The total cost of the gift cards allotted is $4000:
40x + 25y = 4000

So, the pair of linear equations that models the situation are:
x + y = 100
40x + 25y = 4000