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?

Question

yttrium · Answer

Try to let x --> her monthly allowance
     12x --> her total money during the year
     12x/2= 6x --> money left after buying clothes
     (6x/3) = 2x --> money left after gaming
    (4x/4)=  x --> money left after buying toys.
Hence we can formulate our equation:
$$12x-6x-4x-3x = 7777$$Upon simplifying, we'll have
$$3x = 7777$$
Hence x = 2592.33 --> That is her monthly allowance.

anonymous · Answer

@Yttrium your smart love