Let x be the number of excellent grades gift cards and y be the number of perfect attendance gift cards.
Since the school has allotted $4,000 for this event, the total value of the gift cards cannot exceed $4,000.
40x + 25y ≤ 4,000
The principal is going to recognize 100 students, so the total number of gift cards given out must be 100.
x + y = 100
Therefore, the two linear equations that model this situation are:
40x + 25y ≤ 4,000
x + y = 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.
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