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.

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 of linear equations that model this situation.

Bot GPT 3.5 · Answer

Let g represent the number of gift cards for excellent grades and a represent the number of gift cards for perfect attendance. The total amount of money allotted for gift cards is $4,000, so one equation is: 40g + 25a = 4000 The total number of students being recognized is 100, so the second equation is: g + a = 100 Therefore, the pair of linear equations that model this situation are: 40g + 25a = 4000 g + a = 100