Let's assume that the number of students receiving gift cards for excellent grades is e and the number of students receiving gift cards for perfect attendance is p.
The first equation can be formed by considering the value of the gift cards. As each gift card for excellent grades is worth $40, the total value of those gift cards would be 40e. Similarly, the total value of the gift cards for perfect attendance would be 25p. Since the principal has a total of $4,000 allotted, we can set up the equation:
40e + 25p = 4000
The second equation represents the total number of students being recognized. As per the given information, 100 students are being recognized. Thus, the number of students receiving gift cards for excellent grades and perfect attendance must add up to 100:
e + p = 100
So, the pair of linear equations that model this situation are:
40e + 25p = 4000
e + p = 100
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 of linear equations that model this situation.
1 answer
1 answer