Mathematical Problem Solving Techniques

The video tutorial covers solving various math problems, including analyzing a pie chart to find percentages, calculating average income, solving algebraic equations, determining time using rates, comparing sales tax savings, and finding the perimeter of a square using its diagonal. Each problem is broken down step-by-step, demonstrating the application of mathematical concepts such as algebra, arithmetic mean, rates, and geometry.

In Problem 100, what percentage of the funds for highway maintenance comes from the tire tax?

• 8%

• 10%

• 6%

• 4%

In Problem 101, if the average income of 10 households is $25,000 and 6 households earn $30,000 each, what is the average income of the remaining 4 households?

• $22,500

• $20,000

• $15,000

• $17,500

In Problem 102, if T equals 290 and is given by the formula T = 5/9 * K - 32, what is the value of K?

• 544

• 554

• 532

• 522

In Problem 103, how long will it take to fill a swimming pool using two outlets with flow rates of 1 pool per 9 hours and 1 pool per 5 hours?

• 5.0 hours

• 4.1 hours

• 3.2 hours

• 2.5 hours

In Problem 104, if Diana bought a stereo for $530 including a 6% sales tax, how much would she have saved if the sales tax was 5%?

• $6

• $5

• $4

• $3

In Problem 105, if a square mirror has a diagonal of 20 inches, what is the approximate perimeter of the mirror?

• 64 inches

• 60 inches

• 68 inches

• 56 inches