Mr$.$ and Mrs$.$ Wagner are getting ready to drive across the USA from Philadelphia, PA to Los Angeles, CA in five days. The distance is approximately $3,000$ miles. The average price of gasoline is about $$1\mathrm{.}90$ per gallon. They plan to stay in a hotel for four nights and budget the cost of meals be about $$55$ per day per person.

a$)$ If their van averages $25mpg,$ estimate the total cost of the gas for the trip. Round to the nearest whole number.

b$)$ If the average cost of hotel stay per night is about $$115$ plus $18\%$ hotel tax, determine the total cost for hotels for their trip. Round answer to the nearest whole number.

c$)$ How much should they budget for the total cost of meals for their trip?