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the senior classes at MGM and Baker planned separate trips to New York City. The senior class at MGM rented and filled 1 van and 6 buses with 372 students. Baker rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

 Dec 16, 2020

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 #2
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 Dec 16, 2020
 #3
avatar+129899 
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We have  that

 

x + 6y  =  372    ⇒   x = 372  - 6y    (1)

4x + 12y =  780     (2)

 

Sub (1)  into (2)

 

4 ( 372 - 6y) + 12y   =  780

 

1488  - 24y + 12y   =  780

 

1488   -12y  =  780

 

1488 - 780   =  12y

 

708  = 12y

 

708 / 12   = y   =  59  students to a bus

 

And using (1)

372 - 6(59)  =  x  =  18  students to a van

 

 

cool cool cool

 Dec 16, 2020

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