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Burgers at 89 cents from a 20 dollar bill

Question

Back in 20002000 a burger cost 8989 cents. You pay with a $20 bill and buy as many burgers as possible, ignoring tax. Let xx be how many you get and yy the change in cents. What is xyxy?

Short answer

924. 22×89=195822\times 89=1958 cents while 23×89=2047>200023\times89=2047>2000, so x=22x=22 and y=2000−1958=42y=2000-1958=42. Then xy=22⋅42=924xy=22\cdot42=924.

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

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