16.72p + 9 ≤ 133
16.2p ≤ 124
p ≤ 124 / 16.2
the teacher can order at most
7 whole pizzas
Answer:
Option C.
Step-by-step explanation:
The number of teachers and students (kindergarten through sixth grade) totals is 510.
The ratio of students to teachers is 16:1.
16+1=17
Total number of students = ![510\times \frac{16}{17}=480](https://tex.z-dn.net/?f=510%5Ctimes%20%5Cfrac%7B16%7D%7B17%7D%3D480)
Kindergarten students make up 1/5 of the student population and fifth and sixth graders account for 1/3 of the remainder.
Kindergarten students =
5th-6th grade students =
Students in first and second grades account for 1/4 of all the students.
1st-2nd grade students =
An equal number of students in the third and fourth grades.
Let x be the number of students in class third.
3rd-4th grade students =
Total students = Kindergarten + (1st-2nd) + (3rd-4th) + (5th-6th)
![480=96+120+2x+128](https://tex.z-dn.net/?f=480%3D96%2B120%2B2x%2B128)
![480=344+2x](https://tex.z-dn.net/?f=480%3D344%2B2x)
![480-344=2x](https://tex.z-dn.net/?f=480-344%3D2x)
![136=2x](https://tex.z-dn.net/?f=136%3D2x)
Divide both sides by 2.
![68=x](https://tex.z-dn.net/?f=68%3Dx)
It means number of students in grade 3 is 68.
![68-96=-28](https://tex.z-dn.net/?f=68-96%3D-28)
It means in third grade 28 fewer students than the number of students in kindergarten.
Therefore, the correct option is C.