Mathematical Problem Solving

The video tutorial covers five math problems, including calculating income percentages, determining entries in a mileage table, comparing values to find one less than 1, finding the length of a rectangular display using ratios, and calculating the average salary of remaining employees. Each problem is solved step-by-step, demonstrating mathematical concepts such as substitution, combinatorics, and ratio calculations.

If Mary's income is 60% more than Tim's, and Tim's income is 40% less than Juan's, what percentage of Juan's income does Mary earn?

• 100%

• 160%

• 96%

• 60%

In a mileage table for 30 cities, how many entries are needed if each distance is represented only once?

• 870

• 435

• 900

• 30

Which of the following expressions has a value less than 1?

• 2 over the square root of 2

• Square root of 10/2

• 2 times 7/13

• 9/10 squared

Given a rectangular display with a width of 8 meters and a length-to-width ratio of 3.3:2, what is the approximate length of the display?

• 16 meters

• 13.2 meters

• 12 meters

• 10 meters

If the average salary of 15 employees is $20,000, and 5 employees earn $25,000 while 4 earn $16,000, what is the average salary of the remaining employees?

• $19,000

• $18,500

• $18,000

• $20,000