Question

Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give teachers 1 1/2 sheets each. Which inequality describes the number of teachers, t, Noor could give sheets of stickers to?

A. t ≥ 10
B. t ≤ 10
C. t > 10
D. t < 10

Answer 1

Noor can give stickers to at most 4 teachers after giving 1/3 of a sheet to each student, because she starts with 21 sheets and gives away 15 sheets, leaving her with 6 sheets for the teachers.

Step-by-step explanation:

The student has asked to determine the inequality that describes the number of teachers, t, to whom Noor could give sheets of stickers, given that she has 21 sheets and has already distributed some to 45 students.

First, we calculate how many sheets Noor gave to the students:
45 students × ⅓ sheet/student = 15 sheets in total.

This means Noor has 21 - 15 = 6 sheets left for the teachers. Since each teacher gets 1½ sheets, we set up the inequality:
t × 1½ ≤ 6.

Solving this inequality gives:
t ≤ 6 ÷ 1½
t ≤ 4

Since Noor cannot give fractions of sheets to each teacher, the number of teachers she can give stickers to must also be a whole number. Therefore, the correct inequality is t ≤ 4, but this is not one of the provided options, indicating there may have been a typo in the question.