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.(1 point)
Equation to represent the total number of students: = 100
Equation to represent the total cost of the gift cards: = 4,000
Check answer

Answer 1

Let g = number of students with excellent grades and a = number of students with perfect attendance.

Total students: g + a = 100
Total cost: 40g + 25a = 4000

(You can simplify the cost equation by dividing by 5: 8g + 5a = 800.)