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):
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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?
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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.
