Discounts and Markups: representing w/equations

Represent the situation with an equation:

The sale price of a tennis racquet is $21. This is 30% off the original price. What is the original price of the tennis racquet?

• 21 = 0.3 w

• 21 = 0.7 w

• a = 0.3 (21)

• a = 0.7 (21)

Represent the situation with an equation:

A store pays $50 for a pair of shoes, then marks them up 25%. What is the selling price of the shoes?

• 50 = 0.25 w

• 50 = 0.75 w

• 50 = 1.25 w

• a = 1.25 (50)

Represent the situation with an equation:

Last year, 150 students signed up for the cross country team. This year, the coach anticipates a 20% increase in the number of participants. How many participants are expected this year?

• 150 = 1.2 w

• a = 1.2 (150)

• 150 = 0.8 w

• a = 0.8 (150)

Represent this situation with an equation:

Boulan's sixth grade has 345 students. This is an 11% increase over last year. What was the size of Boulan's sixth grade last year?

• 345 = 0.11 w

• 345 = 1.11 w

• 345 = 0.89 w

• a = 1.11 (345)

Represent the situation with an equation, then find the percent increase or decrease.

A cross country runner ran a race in 25 minutes. The next race, he ran in 20 minutes. What is the percent change in his time?

• 20 = 25m; 80% decrease

• 20 = 25m; 20% decrease

• 25 = 20 m; 125% increase

• 25 = 20 m; 25% increase

Represent the situation with an equation:

A car manufacturer gives an 8% employee discount. If the original price of a car is $24,000, how much does an employee pay?

• 24,000 = 0.08 w

• 24,000 = 0.92 w

• a = 0.08 (24,000)

• a = 0.92 (24,000)

Represent the situation with an equation:

A student earns 30% more points on a retake than on the original test. If he earned 58.5 points on the retake, what was his original score?

• 58.5 = 0.3 w

• 58.5 = 0.7 w

• 58.5 = 1.3 w

• a = 0.7 (58.5)

Represent the situation with an equation, then find the percent discount.

An item was on the clearance rack priced at $15.50. If the original price was $62, what is the percent discount?

• 62 = 15.5m; 4%

• 15.5 = 62 m; 25%

• 15.5 = 62 m; 75%

• 62 = 15.5m; 96%

Represent the situation with an equation, then solve:

A store owner purchases an item for $15 then sets the selling price at $36. What is the percent markup?

• 36 = 15m; 140%

• 36 = 15m; 40%

• 15 = 36m; 41.7%

• 15 = 36m; 58.3%