SOLUTION: The Ski Club is planning to charter a bus to a ski resort. The cost will be $900 and each member will share the cost equally. If the club had 15 more members, the cost per person w
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Question 1156440: The Ski Club is planning to charter a bus to a ski resort. The cost will be $900 and each member will share the cost equally. If the club had 15 more members, the cost per person would be $10 less. How many are in the club now? Found 2 solutions by ikleyn, josgarithmetic:Answer by ikleyn(52887) (Show Source):
Let n be the number under the question.
Then the cost per person is in the first case, and in the second scenario.
According to the condition,
- = 10.
It is your basic equation.
To solve it, first cancel the common factor 10 in both sides
- = 1.
You may solve it MENTALLY n= 30.
Alternatively, you can reduce the given problem to a quadratic equation
and then solve it.
ANSWER. 30 members.
CHECK. - = 3 - 2 = 1.
You can put this solution on YOUR website! n, number of members
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P, price
N, quantity of members
C, cost
-
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PRICE QUANTITY COST
AS DONE 900/n n 900
IF 900/(n+15) n+15 900
DIFFERENCE 10
(