Question

10. 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?

Answer 1

please help!!!

Answer 2

Let x be her monthly allowance
assume that a year has 12 months so she gets 12x

if 1 represents all her money from 12x

she spends

1/2 so another 1/2 of the original remain = 0.5

she then spends 1/3

so 2/3 of the half remain

(1/2)*(2/3) = 2/6 = 1/3

than spends another 1/4 of the that remainder so 3/4 of that reminder remains.

so (1/3) * (3/4) = 3/12 = 1/4 remains from the 1

so if 1/4 = $7777

1 = 4 * 7777


= $31108

so now if she got 12 months of allowance

12x = $31108

x = ?

Answer 3

2222