At the Henderson middle school awards ceremony, the principal is going to honor outstanding students with gift cards the gift cards for excellent grades, g, Our $40 and the gift cards for perfect attendance, a, 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 g be the number of gift cards for excellent grades and a be the number of gift cards for perfect attendance.

The total number of gift cards given out is 100:
g + a = 100

The total amount allotted for gift cards is $4000:
40g + 25a = 4000

These two equations represent the given situation at the Henderson middle school awards ceremony.