The problem: The biology club went on a trip that cost $420 paid equally by each member. At the last minute 6 more students joined. This reduced the cost by $3 per student. How many students went on the trip?
I set it up like this..
original cost per person is c = 420/n
new cost per person is c-3 = 420/(n+6)
I simplified the new cost equation to say (c-3)(n+6)=420
I then substituted "c" with 420/n like this
(420/n-3)(n+6)=420
I solved and got 26.13 students. How can 0.13 students go on the trip? I must have done something wrong.
I set it up like this..
original cost per person is c = 420/n
new cost per person is c-3 = 420/(n+6)
I simplified the new cost equation to say (c-3)(n+6)=420
I then substituted "c" with 420/n like this
(420/n-3)(n+6)=420
I solved and got 26.13 students. How can 0.13 students go on the trip? I must have done something wrong.