Difference between revisions of "2007 Alabama ARML TST Problems/Problem 3"
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Latest revision as of 12:14, 6 May 2009
Problem
Back in 1802, the town idiot of Boratsville, Thungar the Stenchified, bought some apples from a vendor at the market. He paid 12 cents for the apples, but when he saw how small the apples were, he demanded two extra apples for free, and the vendor agreed. Ultimately, the price Thungar paid was one penny less per dozen apples than he would have paid had he not received the extra apples. How many apples did Thungar purchase (including the two extra)?
Solution
Let's say he took 
apples. apples for 12 cents is 
cents a dozen. 
apples for 12 cents is 
cents a dozen. Their difference is 1, so we have
.
Therefore he bought 
apples total.
See also
| 2007 Alabama ARML TST (Problems) | ||
| Preceded by: Problem 2 |
Followed by: Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
