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 $4000 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:
Equation to represent the total cost of gift cards:

Answer 1

that’s wrong?

Answer 2

Let's assume x is the number of students who receive gift cards for excellent grades (g) and y is the number of students who receive gift cards for perfect attendance (a).

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

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

Answer 3

Apologies for the mistake. Let's correct the equations.

Let's assume x is the number of students who receive gift cards for excellent grades (g) and y is the number of students who receive gift cards for perfect attendance (a).

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

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