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a class of 228 students went on a field trip. they took 12 vehicles, some vans and some buses. find the number of vans and the number of buses they took if each van holds 8 students and each bus holds 30 students

 Feb 15, 2021
 #1
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v + b = 12 

8v + 30b = 228

8v = 228 - 30b

v = 28.5 - 3.75b

 

v + b = 12

(28.5 - 3.75b) + b = 12

2.75b = 16.5

b = 6

 

v + b = 12

v + (6) = 12

v = 6

 

There were 6 buses and 6 vans

 

Proof:

6 * 8 + 6 * 30 = 48 + 180 = 228

 Feb 15, 2021

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