BE$1\mathrm{.}3($LO $3)$ At the beginning of the year, Gilles Plumbers had total assets of $800,000$ and total liabilities of $300,000.$ Answer the following questions. $($Note that each situation is independent.$)$

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If total assets increased $150,000$ during the year and total liabilities decreased $60,000,$ what is the amount of equity at the end of the year?

During the year, total liabilities increased $100,000$ and equity decreased $70,000.$ What is the amount of total assets at the end of the year?

If total assets decreased $80,000$ and equity increased $120,000$ during the year, what is the amount of total liabilities at the end of the year?