The relationship between the students illustrates the use of ratios.
1646 students are stuck eating pineapple pizza
Let:
[tex]P \to[/tex] Pineapple
[tex]C \to[/tex] Cheese
[tex]S \to[/tex] Sausage
So, the ratio is represented as:
[tex]C : S : P = 5 : 5 : 32[/tex]
The number of students is:
[tex]Students = 2160[/tex]
The number (n) of students eating pineapple pizza is:
[tex]n = \frac{P}{C + S + P} \times Students[/tex]
This gives
[tex]n = \frac{32}{5+5+32} \times 2160[/tex]
[tex]n = \frac{32\times 2160}{42 }[/tex]
[tex]n = \frac{69120}{42 }[/tex]
[tex]n = 1645.71428571[/tex]
Approximate
[tex]n = 1646[/tex]
Hence, 1646 students are stuck eating pineapple pizza
Read more about ratios and proportions at:
https://brainly.com/question/7810782