calculus
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?
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The girl earns $864 a month from her allowance. We can solve this problem using algebra. Let x represent the amount of money the girl earns every month. When she spends 1/2 her money on clothes, x/2 is subtracted from her total amount. When she spends another 1/3 of her money on games, x/6 is subtracted from her total amount. When she spends 1/4 of her money on toys, x/24 is subtracted from her total amount. After subtracting those amounts, she has $7777 left. Therefore, we can set up the equation: x - (x/2) - (x/6) - (x/24) = 7777 Simplifying, we get: 17x = 7777 x 24 Dividing both sides by 24, we get 17x/24 = 7777. Dividing both sides by 17, we get x = 7777 / 17 = 864. Therefore, the girl earns $864 a month from her allowance.
