A school club has 60 members enrolled to go for a trip in bus. If 12 less members had enrolled for the trip, each member would pay Sh. 50 more towards the cost of transportation. If actually 50 members go, how much does each pay?
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Let the original cost per member be x shillings.
If 12 less members had enrolled for the trip, the new cost per member would be x + 50 shillings.
The original cost per member multiplied by the original number of members is 60x shillings.
The new cost per member multiplied by the actual number of members is (x + 50)(50) shillings.
Since these two expressions represent the same thing, we can create the equation 60x = (x + 50)(50).
Expanding the right side of the equation gives us 60x = 50x + 2500.
Subtracting 50x from both sides of the equation gives us 10x = 2500.
Dividing both sides of the equation by 10 gives us x = 250.
Therefore, each member pays 250 shillings for the trip.
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