SandiJ508844 SandiJ508844
  • 03-11-2022
  • Mathematics
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If each pair of 2 students share one regular size popcorn, how many cups of popcorn will each student get? (1 cup= 14.4in³)

If each pair of 2 students share one regular size popcorn how many cups of popcorn will each student get 1 cup 144in class=

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ChesneeP573238 ChesneeP573238
  • 03-11-2022

Answer:

4 cups

Explanation:

First, we calculate the volume of the regular size popcorn:

[tex]\begin{gathered} \text{Volume}=5\times3\times8 \\ =120\; in^3 \end{gathered}[/tex]

Given that:

[tex]\begin{gathered} \text{14}.4in^3=1\text{ cup} \\ 120in^3=x\text{ cups} \\ \frac{14.4}{1}=\frac{120}{x} \\ 14.4x=120 \\ x=\frac{120}{14.4} \\ x=8.33\text{ cups} \end{gathered}[/tex]

Thus, if each pair of 2 students share one regular-size popcorn, each student will get approximately 4 cups.

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