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 and 1/2 sheets each. Which inequality describes the number of teachers (t) Noor could give sheets of stickers to?
Choose 1 answer:
[A] 15 + 3/2t > 21
[B] 15 + 3/2t ≥ 21
[C] 15 + 3/2t < 21
[D] 15 + 3/2t ≤ 21
What is the solution set of the inequality?
t >/≥/≤ [….]
Answers
Answer:
The correct answer is d option
Step-by-step explanation:
t+15≤21
Step-by-step explanation:
Let t represent the number of teachers.
We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.
Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.
\text{Number of sheets given to 45 students}=45\times \frac{1}{3}Number of sheets given to 45 students=45×
3
1
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\text{Number of sheets given to 45 students}=15Number of sheets given to 45 students=15
So, Noor gave 15 sheets to 45 students.
We have been given that Noor wants to give 1\frac{1}{2}=\frac{3}{2}1
2
1
=
2
3
sheet to each teachers, so the number of sheets given to t teachers will be \frac{3}{2}t
2
3
t .
As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.
We can represent this information in an inequality as:
\frac{3}{2}t+15\leq 21
2
3
t+15≤21
Therefore, the inequality \frac{3}{2}t+15\leq 21
2
3
t+15≤21 represents the number of teachers ,t, Noor could give sheets of stickers too.
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Answer:
The answer is (D)
The second answer is t≤4
Step-by-step explanation:
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