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IMSO 2007 Mathematics — Taiwan Selection Second Round Essay Question 3

IMSO Maths · IMSO 2007 Mathematics — Taiwan Selection Second Round Essay

Question 3

Articles X, Y and Z are for sale. Article X can be bought at the rate of eight for $1. Article Y costs $1 each and Article Z costs $10 each. You buy a selection of all three types and find that you have to purchased exactly 100 articles at a cost of $100. How many articles of type Y did you buy?