Iris Souza started the summer with $$30.$ She took $$10$ and made signs for her dog walking service. She posted the signs all over her neighborhood. She used the other $$20$ to buy a stout leash and a pooper$-$scooper. At the end of the summer, after buying herself a new pair of shoes for $$50($she had worn her other shoes out walking dogs$),$ she had $$125$ left. Calculate Souza's costs for her summer job?

$$30$

$$50$

$$80$

$$125$

$$175$