Question

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

a) t <= 30
b) t >= 35
c) t = 25
d) t < 40

Answer 1

Option A). To find the inequality that describes the number of teachers, calculate how many sheets Noor gave to the students and how many she has left for the teachers. Noor gave each of the 45 students 1/3 of a sheet and has 6 sheets left for the teachers. Since she wants to give each teacher 1 1/2 sheets, the number of teachers she can give sheets to is t <= 4.

Step-by-step explanation:

We must figure out how many sticker sheets Noor gave the students and how many she left for the teachers in order to determine the inequality that represents the number of teachers. Noor used 45 * 1/3 = 15 sheets for the students, giving each of the 45 students 1/3 of a sheet. She still has six sheets left for the teachers (21 - 15). Since Noor wishes to give 1 1/2 sheets to each teacher, the total number of teachers to whom she can distribute sheets is 6 / (1 1/2) = 4. Consequently, t <= 4 is the appropriate inequality. Therefore, a) t <= 4 is the answer.