At a certain amusement park, there is a bulk discount for tickets. If you buy up to 60 tickets in one order, the price for each ticket is $70$.Howeverifyoubuymorethan60ticketsinasingleorder,thepriceofeveryticketisreducedby$1$ for each additional ticket bought. If $t$ is the number of tickets bought in bulk at one time, what is the largest $t$ which will bring the amusement park a profit greater than $\$4200$?
Btw, the answer CPhill gave another person was incorrect (srry, CPhill)