At the henderson Middle school awards ceremony, the principal is going to honor outstanding students with gift cards for excellent grades, g, are worth $40, and the gift cards are for perfect attendance, 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.
equation to represent the total number of students: _______ = 100
equation to represent the cost of gift cards: _______ = 4,000
Let g represent the number of students receiving the gift cards for excellent grades and let a represent the number of students receiving the gift cards for perfect attendance.
1. g + a = 100 (equation to represent the total number of students)
2. 40g + 25a = 4000 (equation to represent the cost of gift cards)