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Mix of ten and twenty dollar notes in a deposit

Question

A deposit consists of 150 banknotes, each either a $10 or a $20 note, and the total is $2150. How many of the notes are $20 notes?

Short answer

6565. With tt twenties and 150−t150-t tens, 10(150−t)+20t=215010(150-t)+20t=2150, so 10t=65010t=650 and t=65t=65.

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

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