SOLUTION: a grade 11 class group collects R200 to buy pies for all learners in the class.on the day they decide to buy the pies 5 learners are absent.They decide to buy the expensive pie tha

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Question 726688: a grade 11 class group collects R200 to buy pies for all learners in the class.on the day they decide to buy the pies 5 learners are absent.They decide to buy the expensive pie that cost. R2 more.How many learnets are there in the original class group?
Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of learners in the original class.
Then (200/x) is the original cost of the pie.
200+=+%28200%2Fx%2B2%29%28x-5%29
200+=+2x%2B190-1000%281%2Fx%29
100+=+x%2B95-%281%2Fx%29500
0+=+x-5-%281%2Fx%29500
0+=+%281%2Fx%29%28x%5E2-5x-500%29
0+=+%281%2Fx%29%28x-25%29%28x%2B20%29
∴ x=25, x=-20, though the negative answer does not make sense
∴ There are 25 learners in the original group.