Solving Multistep Ratio and Percent Problems Using Proportions

This lesson teaches how to solve multi-step ratio and percent problems using proportions. It explains that the value a percent represents depends on the whole, using examples like a lunch bill with a coupon and tax, and purchasing with multiple coupons. The lesson emphasizes the importance of understanding how the whole changes in multi-step problems and concludes with a summary of key concepts.

What is the key concept when dealing with percentages in multi-step problems?

• Percentages can be added directly.

• The percentage value depends on the whole.

• The whole value remains constant.

• Percentages are always fixed values.

In the lunch bill example, what percentage of the original cost does Margie pay after applying the coupon?

• 105%

• 100%

• 80%

• 20%

After applying a 20% coupon to a $6.20 bill, what is the new total before tax?

• $5.00

• $5.21

• $4.96

• $6.20

Why can't you simply add two percentage discounts together?

• Because it results in a higher discount.

• Because each discount applies to a different whole.

• Because percentages are always fixed.

• Because it simplifies the calculation.

What is the correct way to apply two sequential discounts of 50% and 40%?

• Multiply them together.

• Apply 40% first, then 50% on the new total.

• Apply 50% first, then 40% on the new total.

• Add them to get 90% off.

What is the final price of a $16 item after applying a 50% discount followed by a 40% discount?

• $8.00

• $4.80

• $9.60

• $1.60

What percentage of the original price do you effectively pay after applying sequential discounts of 50% and 40%?

• 60%

• 50%

• 30%

• 10%