The user-friendly version of this content is available here.
The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.
This problem trains for: SAT-I, GMAT, AMC-8, Math Kangaroo 5-6, Math Kangaroo 7-8.
In a bag of coins there are quarters, dimes and nickels. Nyame orders Anansi to exchange as many 1 dollar bills as he can into quarters. Then, Nyame orders Turtle to exchange as many 1 dollar bills as he can into dimes. Finally, Nyame asks Firefly to exchange as many 1 dollar bills as he can into nickels. What is the largest possible amount (in dollars) that the coins left in the bag may add up to?
(characters from African folk tales)
Anansi has made groups of 4 quarters. At most 3 quarters could have been left in the bag.
Turtle has made groups of 10 dimes. At most 9 dimes could have been left in the bag.
Firefly has made groups of 20 nickels. At most 19 nickels could have been left in the bag.
The largest possible amount of money that could be left in the bag is $2.60: