Problem Solving with Ratios and Algebra

The video tutorial covers four math problems. The first problem involves solving a ratio problem with a fruit salad mixture to find the difference in weight between apples and grapes. The second problem uses algebra to determine how much money Jim has compared to Louise. The third problem calculates the total number of games a team played based on their win percentages. The final problem involves determining how many job applicants have both experience and degrees using set theory.

In a fruit salad mixture with a ratio of 6:5:2 for apples, peaches, and grapes, how many more pounds of apples are there than grapes if the total weight is 39 pounds?

• 12 pounds

• 6 pounds

• 24 pounds

• 18 pounds

If Louise has x more dollars than Jim and together they have y dollars, how much money does Jim have?

• y - x

• x - y

• (y + x) / 2

• (y - x) / 2

A team won 80% of its first 100 games and 50% of the remaining games. If they won 70% of all games, how many games did they play in total?

• 150 games

• 140 games

• 130 games

• 120 games

Out of 30 job applicants, 14 have more than 4 years of experience, 18 have degrees, and 3 have neither. How many have both experience and a degree?

• 3 applicants

• 5 applicants

• 7 applicants

• 9 applicants