At the Henderson middle school award ceremony the principal is going to honor outstanding students with gifts the gift card for excellent grades G are worth $40 and the gift card 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 x be the number of gift cards for excellent grades and y be the number of gift cards for perfect attendance.

The first equation represents the total number of gift cards:
x + y = 100

The second equation represents the total cost of the gift cards:
40x + 25y = 4000