Calculating Percentages and Equations

This video tutorial covers various percentage contexts in mathematics, including calculating retail prices with markups, determining original prices from discounts, computing salesperson commissions, and understanding loan interest calculations. It also involves matching real-world situations with mathematical equations. The video aims to enhance understanding of percentage applications in everyday scenarios.

A car dealership marks up the price of a car by 17.4%. If the dealership paid $8,350 for the car, what is the retail price?

• $9,500.00

• $10,000.00

• $9,802.90

• $8,350.00

A store offers a 20% discount on pants, making the sale price $15.20. What was the original price of the pants?

• $19.50

• $20.00

• $19.00

• $18.00

If a salesperson earns a 5.5% commission on a $495 couch sale, how much is the commission?

• $30.00

• $25.00

• $27.23

• $20.00

After paying a commission, how much does the store earn from a $495 couch sale?

• $467.77

• $470.00

• $450.00

• $480.00

A student takes a $7,500 loan with a 3.8% annual interest rate. What is the loan balance after one year?

• $7,750.00

• $7,800.00

• $7,700.00

• $7,785.00

With a 5.3% interest rate, what is the balance of a $7,500 loan after one year?

• $7,900.00

• $7,897.50

• $7,800.00

• $7,850.00

If Kieran collected x pounds of recycling and Mike collected three-tenths less, which equation represents the situation?

• y = 0.9x

• y = 1.3x

• y = 0.3x

• y = 0.7x

If My drank x ounces of juice and Kieran drank four-thirds more, which equation represents the situation?

• y = 2.33x

• y = 1.33x

• y = 1.5x

• y = 2x

Kieran completed x puzzles and Mike completed three-fifths more. Which equation represents this?

• y = 1.3x

• y = 1.6x

• y = 1.5x

• y = 1.4x

If My walked x kilometers and Kieran walked three-eighths more, which equation represents the situation?

• y = 1.2x

• y = 1.5x

• y = 1.25x

• y = 1.375x