1. If 6 is added to a number and this sum is tripled, the result is 8 less than 4 times the number. Find the number.
2. In the 1960 presidential election, John Kennedy received 84 more electoral votes than Richard Nixon. There are a total of 522 votes in the Electoral College. How many votes did each man receive?
3. Every Sunday Miranda jogs three times as far as Robert on their expensive new treadmill machine. If 24 miles are logged on the treadmill each Sunday, find the number of miles jogged by each.
4. In an unfortunate accident, a record-breaking 344-foot long submarine sandwich is broken into three pieces. If the longest piece is 5 times as long as the middle-sized piece, and the shortest piece is 13 feet shorter than the middle-sized piece, how long are the three pieces?
5. A certain recipe for sweet Martinis calls for 10 ounces of gin to every 3 ounces of vermouth. In a pitcher filled with 52 ounces of this execrable mixture, how much gin is there? How much vermouth?
6. Find the measure of an angle whose supplement measures 10 times the measure of its complement.
