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Two student groups went to an amusement park on the same day.
Group $1$ bought $9$ tickets and received a $120$ dollars discount.
Group $2$ bought $3$ tickets and received a $30$ dollars discount.
Both groups spent the same total amount of money on tickets.
The price of each ticket was the same.
What was the cost of each ticket?

C $15$ dollars

A $25$ dollars

B $12.50$ dollars

D $7.50$ dollars

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