# MATH

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Allen started out with x marbles. He doubled his number of marbles by buying an additional x marbles from Betty. Then he gave away one-third of all his marbles to his friend Clarence. At the end of the day, he had 16 marbles. How many marbles did he start out with

• MATH -

start --- x
after Betty deal --- 2x
after give-away ---- (2/3)(2x)

(4/3)x = 16
4x = 48
x = 12

check:
start: 12
after doubling : 24
gave (1/3) of 24 or 8 away
leaving him with 16

• MATH -

SO HE STARTED OUT WITH 12?

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