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A class trip cost a total of $414, including a museum ticket and lunch for each student. Three students were sick on the day of the trip and did not attend, so the total cost dropped to $360. How many students went on the trip?

I WILL GIVE BRAINLIEST FOR EXPLAINATION!!!!!!!!

Respuesta :

  • Let total students be x
  • Students didn't came to lunch be y

ATQ

  • x+y=414---(1)
  • x-y=360--(2)

Substracting both

[tex]\\ \sf\longmapsto 2y=54[/tex]

[tex]\\ \sf\longmapsto y=27[/tex]

  • 3 students paid 27

each paid

[tex]\\ \sf\longmapsto \dfrac{27}{3}=9[/tex]

Now

Total students went on trip

[tex]\\ \sf\longmapsto \dfrac{360}{9}[/tex]

[tex]\\ \sf\longmapsto 40[/tex]

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