Fiona, Ben, and Catherine are siblings whose ages are consecutive even integers. Fiona is the youngest and Catherine is the oldest. If the sum of all three of their ages is 78, set up an equation and solve algebraically for Catherine's age.

Max is saving money to buy a new scooter. He decides to save $10 per week and starts with $50 in his savings account. His friend also gives him $5 every week to help him reach his goal. Write an equation to represent Max's savings in terms of the number of weeks he saves. Determine the total amount of money Max will have after saving for 10 weeks. At what point will Max's savings reach $400?