Example 1: Solve
Example 2: Solve
Example 3: Solve
Example 4:Solve
Example 5: Solve
Example 6: Solve
Example 7: Solve
Example 8: The sum of a number and its reciprocal is 10/3. Find the number.
Example 9: The sum of two numbers is 52. If the larger is divided by the smaller, the quotient is 9, and the remainder is 2. Find the numbers.
Example 10: On a certain map 1 ½ inches represents 25 miles. If two cities are 5 ¼ inches apart on the map, find the number of miles between the cities.
Example 11: A sum of $750 is to be divided between two people in the ratio of 2 to 3. How much does each person receive?