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15Buying Items on Sale Unit

CMath Vo abulary sales tax: a tax that is added to the cost of the item when you buy an item

Method 2 Add the percents. Method 2: Add the percents.
Find the total as a percent including 5% sales tax. This method eliminates the step where the
sales tax is figured separately and then added
100% 5% to the price. First, add the tax percent to 100
105% to find the total price including tax as a
percent. Convert the percent to a decimal
The item costs 105% including 5% sales tax. and multiply it by the original cost of the item.
Example: $20 bag with 5% sale tax
total price = $20 1 0.05 100 5 105%
= $20 1.05 105% 1.05
= $21 1.05 $20 $21

2 . Find the total price of each item using the method above. 2. Have students find the total price of each
item using Method 2. Make sure they add the
a. $34 b. $120 percent sales tax to 100 and convert to a
decimal before multiplying.
5% sales tax 1 0.05 7% sales tax
total price = $34
1.05 total price = $120 1.07
= $34 = $128.4

= $ 35.7

c. $62 d. $38

5% sales tax 6% sales tax

total price = $62 1.05 total price = $38 1.06
= $65.1 = $40.28

e. $50 f. $45

6% sales tax 7% sales tax

total price = $50 1.06 total price = $45 1.07
= $53 = $48.15

15. Buying Items on Sale 135

Sometimes percentage problems can be challenging.
Problem: A toy store sells a remote controlled helicopter for $30. One day, the shopkeeper decides to raise

the price 20%, but he couldn’t sell any, so he lowers the price by 20%. What is the new price?
a. $30
b. $36
c. $28.80
d. $30.50

Solution: $30 1.20% $36, $36 0.20% $7.20, $36 $7.20 $28.80
Answer: c. $28.80

6A Unit 15 221
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