Mathematics 33 Online
OpenStudy (anonymous):

Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had \$7777 left. Assuming she only gets money by allowance, how much money does she earn every month?

OpenStudy (anonymous):

Let monthly allowance be \$X. Last year she saved \$12X. She then spent \$6X on clothes (50% of her starting amount), leaving \$6X She then spent 1/3 of this (i.e. \$2X) on games, leaving \$4X She then spent 1/4 of this (i.e. \$X) on toys, leaving \$3X So \$3X = \$7,777 and \$X = \$2,592.33 This monthly allowance looks a bit odd. Was I right in assuming she saved for 12 months, spending nothing last year?

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