After your first year studying science, you are lucky enough to get a summer job making coffee at Starbucks, but you tell your parents and friends that you have secured a lucrative position as a "java engineer." An eccentric chemistry professor $($not mentioning any names$)$ stops in every

day and orders $250$ mL of house coffee at precisely $95\backslash$deg C$.$ She then adds to drop the temperature of the coffee to exactly $85\backslash$deg C$.$

Calculate the amount of milk $($in mL$)$ the professor must add to reach this temperature. Assume that the coffee and milk have the same specific heat capacity: $4\mathrm{.}184$ J$/($g $\backslash$times $\backslash$deg C$).$ Assume that they also have the same density: $1\mathrm{.}0$ g$/$mL$.$