Solving Multi-Step Ratio and Percent Problems

This video tutorial teaches how to solve multi-step ratio and percent problems using proportions. It explains the concept of percentages and how they depend on the whole. The tutorial walks through examples, such as applying coupons and taxes, and highlights the importance of understanding how the whole changes in multi-step problems. It also clarifies the common misconception of simply adding percentage discounts when using multiple coupons.

What is the percentage of 20 out of 100?

• 30%

• 20%

• 10%

• 40%

If you have 50 items, what is 20% of them?

• 20

• 5

• 10

• 15

Margie’s original lunch cost is $6.20. After applying a 20% coupon, what is the new cost?

• $5.00

• $5.50

• $4.96

• $5.20

After applying a 20% coupon, Margie’s lunch costs $4.96. What is the final cost after adding a 5% tax?

• $5.10

• $5.00

• $5.30

• $5.21

Why can't you simply add the percentages of two coupons together?

• Because the percentages are too close

• Because the second coupon applies to a new whole

• Because the first coupon is already too high

• Because the second coupon is invalid

If you have a $16 item and apply a 50% coupon first, what is the new price?

• $10.00

• $8.00

• $6.00

• $4.00

After applying a 50% coupon to a $16 item, what is the price after an additional 40% off?

• $7.20

• $6.00

• $5.00

• $4.80

What is the effective percentage off when applying a 50% coupon followed by a 40% coupon?

• 70%

• 80%

• 90%

• 60%

What is the key concept to remember when solving multi-step ratio and percent problems?

• Use only one coupon

• The whole changes with each step

• Always add percentages together

• Ignore the second percentage

What method is used to solve multi-step ratio and percent problems in this lesson?

• Using algebraic equations

• Using trial and error

• Using proportions

• Using graphs