Let's assume the number of students receiving gift cards for excellent grades is represented by variable x, and the number of students receiving gift cards for perfect attendance is represented by variable y.
The value of the gift cards for excellent grades (g) is $40, and the value of the gift cards for perfect attendance (a) is $25.
From the given information, we know the total money allotted is $4,000, and the total number of students being recognized is 100.
The first equation can be derived from the total cost of gift cards for excellent grades:
40x
The second equation can be derived from the total cost of gift cards for perfect attendance:
25y
Since the total money allotted for the event is $4,000, the sum of the costs of both types of gift cards must equal that amount:
40x + 25y = 4000
Since the principal wants to recognize 100 students, the total number of students receiving gift cards must be 100:
x + y = 100
The pair of linear equations representing this situation are:
40x + 25y = 4000
x + y = 100
At the Henderson Middle school awards ceremony, the principal is going to honor outstanding student with gift cards. The gift cards for excellent grades, g, are worth $40 and the gift card 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.
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what is the final answer?
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