Question

Noor brought
\[21\] sheets of stickers. She gave

\[\dfrac{1}{3}\] of a sheet to each of the
\[45\] students at recess. She wants to give teachers

\[1\dfrac{1}{2}\] sheets each.
Which inequality describes the number of teachers,
\[t\], Noor could give sheets of stickers to?
Choose 1 answer:
A

\[15+\dfrac{3}{2}t>21\]
B

\[15+\dfrac{3}{2}t\geq 21\]
C

\[15+\dfrac{3}{2}t<21\]
D

\[15+\dfrac{3}{2}t\leq 21\]

Answer 1

Students used 45 × 1/3 = 15 sheets. If t teachers get 1 1/2 = 3/2 sheets each, total used is 15 + (3/2)t, which must be at most 21. So

15 + (3/2)t ≤ 21.

Answer: D.