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?
is this the corrrecccccttttt answer-
$2222
she spends 1/2 on clothes, so 1/2 is left
she spends 1/3 of THAT on games so 2/3 of 1/2 or 1/3 of her money is left.
she spends 1/4 of THAT on toys so she has 3/4 of 1/3 left, which is 1/4 of the original
so if 1/4 is 7777, how much would 4/4 be??
What a spoiled rich kid!!!
To find out how much money she earns every month, let's go through the problem step by step.
1. Let's start by assuming that the amount of money she earns every month is represented by "x."
2. According to the problem, she spends 1/2 of her money on clothes. So, after buying clothes, she has 1/2 of x left.
3. Next, she spends 1/3 of the remaining money on games. Therefore, she has 2/3 of 1/2 or (2/3) * (1/2) * x = 1/3 * x left.
4. Finally, she spends 1/4 of the remaining money on toys. This leaves her with 3/4 of 1/3 or (3/4) * (1/3) * x = 1/4 * x.
5. We know that she has $7777 left after buying all the items. According to the problem, this amount is equal to 1/4 * x. Therefore,
1/4 * x = 7777.
6. To find the value of x, we can multiply both sides of the equation by 4:
x = 4 * 7777.
7. Evaluating the expression, we find that x = 31,108.
So, the correct answer is that she earns $31,108 every month.
Please note that this assumes that she only earns money through her allowance and does not have any other sources of income.