Question

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
𝑔
, are worth $40, and the gift cards for perfect attendance, a
𝑎
, are worth $25. The principal has $4,000 allotted for this event, and he is going to recognize 100 students. Write the pair of linear equations that model this situation.

Answer 1

Let g = number of grade gift cards and a = number of attendance gift cards.

Then
g + a = 100
40g + 25a = 4000

(You can simplify the second: 8g + 5a = 800.)