Markup, Inequalities, and Sales Tax

The video tutorial covers various mathematical problems involving inequalities. It begins with Priya's example of solving an inequality by manipulating algebraic expressions. The next section deals with a store inventory problem, where inequalities are used to determine the number of shirts on display. The tutorial then explores inequalities on a number line, followed by an unbalanced hanger problem to understand weight comparisons. Finally, it addresses sales tax and markup calculations, teaching students how to compute percentages and apply them to real-world scenarios.

What is the correct solution for the inequality 12 - x > 5?

• x = 7

• x < 7

• x > 7

• x ≥ 7

In the store scenario, what does the term 3/5 represent in the inequality 3/5x + 30 ≥ 150?

• The fraction of shirts sold

• The total number of shirts

• The fraction of shirts remaining

• The number of shirts in the stock room

What is the minimum number of shirts that were originally on display in the store?

• 180

• 200

• 150

• 250

Which inequality must be true if x is a number less than 4?

• x - 2 > 2

• x + 6 < 10

• x < 2

• 5x < 20

If each circle weighs 6 grams, what can be inferred about the weight of each triangle?

• Each triangle weighs less than 4 grams

• Each triangle weighs more than 4 grams

• Each triangle weighs exactly 4 grams

• Each triangle weighs less than 6 grams

If each triangle weighs 3 grams, what can be inferred about the weight of each circle?

• Each circle weighs more than 4.5 grams

• Each circle weighs less than 4.5 grams

• Each circle weighs exactly 4.5 grams

• Each circle weighs more than 3 grams

How much is the sales tax on a shirt priced at $12.58 with a 7.5% tax rate?

• $1.50

• $1.25

• $0.94

• $0.75

What is the approximate markup percentage for a helmet bought at $19 and sold at $31.50?

• 70%

• 66%

• 50%

• 60%

How much would an employee earn if they worked 18 hours at $14.25 per hour and sold $250 worth of merchandise with a 5.5% commission?

• $280.00

• $270.25

• $256.50

• $290.75

What is the total cost of a shirt priced at $12.58 after adding a 7.5% sales tax?

• $13.52

• $14.50

• $14.00

• $13.00