Let x represent the number of students who receive gift cards for excellent grades and y represent the number of students who receive gift cards for perfect attendance.
The total value of the gift cards for excellent grades is 40x.
The total value of the gift cards for perfect attendance is 25y.
Since the principal is going to recognize 100 students, we have the equation:
x + y = 100
The total value of the gift cards should not exceed $4000, so we have the inequality:
40x + 25y ≤ 4000
Therefore, the pair of linear equations that model the situation is:
x + y = 100
40x + 25y ≤ 4000
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, Our $40 and the gift cards for perfect attendance, a, 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 the situation
1 answer
1 answer