Vaughn Journeys has just received notice that the rent on their facilities will be increasing by $$519$ per month and the instrument rent will also be increasing $$20$ per month. $(1)$ Determine the company's break$-$even point in the number of students taught per month based on the new information. $(2)$ Determine the amount to charge per student assuming that Vaughn Journeys does not increase the number of students taught. If aughn Journeys does not want to increase their fees, how many additional students will they need to attract? $($Round amount to charge per student to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

$(1)$ Break even in number of students taught per month students

$(2)$ Amount to charge per student

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Additional number of students students