Adding and Subtracting Percents Tax, Tip and Discount Adding and Subtracting Percents
Adding Percents When we are adding a percentage onto an original amount, we can add the percent to 100%. This can be used to find the total amount after some percentage has been added. (ex. Tax) Takes one step out of solving problems. Ex. You are buying a shirt that costs $12 with a 2.6% sales tax. 100% + 2.6% = 102.6 % = 1.026 (decimal) 12 * 1.026 = 12.312 ≈ $12.31
Practice Sarah is buying a new pair of shoes for $37.50. The sales tax is 8.3%. How much will she pay? 2. At Alex’s furniture store, they charge a 12% sales tax. If a bed frame costs $226, how much will the consumer pay in total?
Subtracting Percents When we are taking away a certain percentage from an original amount, we can subtract the percent from 100%. This can be used to find the total amount after some percentage has been subtracted. (ex. discounts) Takes one step out of solving problems. Ex. These $45 shorts are on sale for 20% off. How much do they cost? 100% - 20% = 80% = 0.80 (decimal) 45 * 0.80 = $36
Practice At Camilla's antique shop, everything is 30% off. How much will I pay for a table that costs $147.50? After a 15% off sale, some jeans were $11.50. how much were the jeans before the sale? 100% - 15% = 85% 11.50 = 85% of the total cost Set up a proportion and solve!