SOLUTION: A group of students are going on a field trip. The transportation will include vans, which can hold 7 students each, and buses which can hold 25 students each the school has five m

Question 215006: A group of students are going on a field trip. The transportation will include vans, which can hold 7 students each, and buses which can hold 25 students each the school has five more vans than buses. If 127 students and 4 teachers are going on the trip, how many vans and buses will be used?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let

v = # of vans
b = # of buses

Since "The transportation will include vans, which can hold 7 students each, and buses which can hold 25 students each" and there are a total of "127 students and 4 teachers" (which add to 127+4=131), this means . This is our first equation.

Also, we're told that "the school has five more vans than buses" which algebraically means

Start with the first equation.

Plug in

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So 3 buses will be used.

Go back to the second equation.

Plug in

Add

So 8 vans will be used.
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