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Alex broke open his piggy bank. He had 30 more dimes than nickels and 8 more quarters than nickels. The value of the quarters is

Alex broke open his piggy bank. He had 30 more dimes than nickels and 8 more quarters than nickels. The value of the quarters is exactly the same as the value of the sum of the dimes and nickels. How much total money does Alex have (in cents, assuming the quarters are worth 25 cents, dimes are worth 10 cents, and nickesl are worth 5 cents)?

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