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, are worth $40, and the gift cards 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 if linear equations that model this situation. (1 point)

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, are worth $40, and the gift cards 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 if linear equations that model this situation. (1 point)
Equation to represent the total number of students: blank  = 100
Equation to represent the total cost of the gift cards: blank =4,000

GPT 3.5 · Answer

Let's use the variables x and y to represent the number of students receiving gift cards for excellent grades and perfect attendance, respectively.

Equation to represent the total number of students: x + y = 100

Equation to represent the total cost of the gift cards: 40x + 25y = 4000