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jmc

prealgebra senior

Problem

John divided his souvenir hat pins into two piles. The two piles had an equal number of pins. He gave his brother one-half of one-third of one pile. John had 66 pins left. How many pins did John originally have?
Solution
Initially, John has pins, where is the number of pins in each pile. He gives away pins, so is the number of pins he has left. We get , so he originally had pins.
Final answer
72