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APMOPS 2004 Question 30

APMOPS · APMOPS 2004

Question 30

A confectionery shop sells three types of cakes. Each piece of chocolate and cheese cake costs \$5 and \$3 respectively. The mini-durian cakes are sold at 3 pieces a dollar. Mr Ng bought 100 pieces of cakes for \$100. How many chocolate, cheese and durian cakes did he buy? Write down all the possible answers.

Editorial convention: Mr Ng buys at least one cake of each type, as intended by the supplied answer key.