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

Question

, 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

Answer 1

Let's define the variables:

• Let \( g \) be the number of students receiving gift cards for excellent grades.
• Let \( a \) be the number of students receiving gift cards for perfect attendance.

Based on the information given, we can write two equations:

1. The total number of students being recognized: \[ g + a = 100 \]

2. The total cost of the gift cards: \[ 40g + 25a = 4000 \]

So your pair of linear equations modeling the situation is:

1. \( g + a = 100 \)
2. \( 40g + 25a = 4000 \)