Question

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

plz answer

Answer 2

the question is what portion of her money did she spend?

Answer 3

ok so how much does she earn

Answer 4

okay actually that was wrong
she spends \(\frac{1}{2}\) of her money on clothes, leaving \(\frac{1}{2}\) of her money left
then she spend \(\frac{1}{3}\) of that on games, and \(\frac{1}{2}\times \frac{1}{3}=\frac{1}{6}\) so she has \(\frac{1}{2}-\frac{1}{6}=\frac{1}{3}\) of her money left

Answer 5

then she spends \(\frac{1}{4}\) of that on toys and \(\frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\)

Answer 6

so its $2222 right?

Answer 7

leaving her with
\[\frac{1}{3}-\frac{1}{12}=\frac{1}{4}\] of her original mount of $

Answer 8

now the question is 7777 is one fourth of what number?

Answer 9

which is another way of asking, what is \(4\times 7777\)

Answer 10

2222?

Answer 11

31108

Answer 12

no, the number has to be larger than 7777

Answer 13

that is what i get, yes