Interest, Ratios, and Inequalities Problems

The video tutorial covers solving inequalities, finding the least common multiple, calculating voting majorities, budget allocation based on ratios, determining board composition, and calculating compound interest. Each problem is broken down step-by-step, demonstrating mathematical concepts and problem-solving techniques.

If x + 5 > 2 and x - 3 < 7, what is the range of possible values for x?

• x is between -5 and 7

• x is between -3 and 10

• x is between 0 and 5

• x is between -2 and 8

A gym class can be divided into 8 or 12 teams with equal players. What is the smallest number of students possible?

• 48

• 32

• 24

• 16

At least 2/3 of 40 committee members must vote in favor of a resolution. What is the maximum number of members who can vote against it?

• 14

• 15

• 13

• 12

In a budget, household, food, and miscellaneous expenses are in a 5:2:1 ratio. If the total is $1,800, how much is allocated to food?

• $300

• $450

• $600

• $750

Leona bought a $10,000 certificate of deposit at 8% annual interest, compounded semi-annually. What is the total interest at maturity?

• $816

• $832

• $800

• $824