Question

Noor brought 21 sheets of stickers. She gave him 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 the stickers to?

Answer 1

t is less than or equal to 4

15+3/2t is less than or equal to 21

Explanation:

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Answer 2

Required inequality is t ≤ 4.

Explanation:

There are 21 sheets of stickers.

Noor gave 1/3 of a sheet to each of the 45 students.

So, she gave 1 sheet to 3 students.

Therefore, the number of sheets she gave for 45 students =
`(45)/(3)=15` .

Remaining sheets = 21 - 15 = 6

Now, the number of teachers = t

Number of sheets Noor gave to one teacher =
`1(1)/(2) =(3)/(2)`

For t teachers, the total number of sheets given =
`(3t)/(2)`.

Clearly, this quantity should be less than or equal to the remaining sheets 6.

Hence, the required inequality is:

`(3t)/(2) \leq 6`

3t ≤ 12

t ≤ 4