SOLUTION: A group of graduating students rented a bus for their field trip for 6,000. 10 of the students withdraw from the trip and as a result the share of the others was increased by 20 pe

Question 1187538: A group of graduating students rented a bus for their field trip for 6,000. 10 of the students withdraw from the trip and as a result the share of the others was increased by 20 pesos. How many were in the original field trip?
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
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A group of graduating students rented a bus for their field trip for 6,000.
10 of the students withdraw from the trip and as a result the share of the others was increased by 20 pesos.
How many were in the original field trip?
~~~~~~~~~~~

Let n be the number of students originally.


Write equation as you read the problem


     -  = 20      pesos.


To simplify, divide both sides by 20


     -  = 1.


From this point, you may guess the solution mentally: it is  n = 60.


Alternatively, you can reduce this equation to the standard quadratic form and solve it formally,
using the quadratic formula or factoring.


CHECK.   I will check the original equation   -  =  -  = 120 - 100 = 20 pesos.   ! Correct !


ANSWER.  There were 60 students originally.

Solved.

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