Question

A teacher wants to buy supplies for two of their students, Susie and John. This teacher wants to spend at least $5 on each student. This teacher also must keep the total of the supplies under $30. What is a system of inequalities that represents this situation? A. x + y ≥ 30 x ≥ 5 y < 5
B. x + y < 30 x < 5 y < 5
C. x + y ≥ 30 x ≥ 5 y ≥ 5
D. x + y < 30 x ≥ 5 y ≥ 5

Answer 1

X and y represent the two students.

Teacher wants to spend at least $5 in each of x and y. That means x or y could be either equal to 5 or higher than 5.
x ≥ 5
y ≥ 5

Teacher only spends under $30. That means the sum of x and y couldn't be equal to higher than 30. It should be lower than 30.
x + y < 30

The correct answer is option D