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 point)

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.(1 point)

Equation to represent the total number of students: = 100
Equation to represent the total cost of the gift cards: = 4,000

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

Let x be the number of students being awarded the gift card for excellent grades and y be the number of students being awarded the gift card for perfect attendance.

1. Total number of students being awarded gift cards:
x + y = 100

2. Total cost of the gift cards:
40x + 25y = 4000

These are the pair of linear equations that model the situation at the awards ceremony.