Let's represent the number of students who receive gift cards for excellent grades as "g" and the number of students who receive gift cards for perfect attendance as "a". We can create two linear equations based on the given information.
First equation:
The total number of gift cards for excellent grades (g) multiplied by $40 should equal the total amount spent on gift cards for excellent grades.
40g = total amount spent on gift cards for excellent grades
Second equation:
The total number of gift cards for perfect attendance (a) multiplied by $25 should equal the total amount spent on gift cards for perfect attendance.
25a = total amount spent on gift cards for perfect attendance
We also know that the total number of students recognized is 100:
g + a = 100
Therefore, the pair of linear equations that model this situation are:
40g + 25a = 4000
g + a = 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 $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
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1 answer