School Trip
A group of classmates was planning a trip. If each of them paid $14, then they would be $4 short to pay for the trip. On the other hand, if each of them paid $16, they would have $6 more than they needed. How much should each of the classmates contribute so they collect the exact amount needed for the trip?
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1 solution
Let the number of classmates be N.
If each of them paid $14, then they would be $4 short to pay for the trip
-> Cost of the trip = $(14N + 4)
If each of them paid $16, they would have $6 more than they needed
-> Cost of the trip = $(16N - 6)
Put these equal
-> 14N + 4 = 16N - 6
-> 4 + 6 = 16N - 14N
-> 2N = 10
-> N = 5
So there are 5 classmates and the cost of the trip = $74
Therefore they should each pay $74 ÷ 5 = $14.80