A tent costs $150. It is 20% off, then 6% sales tax is added. What… Step by Step

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The question

Question: A tent costs $150.

It is 20% off, then 6% sales tax is added.

What is the final price?

1 Find the discount

Percent means out of 100.

So 20% is 20 divided by 100: 0.2.

The point moves 2 places to the left.

20% = 20 ÷ 100 = 0.2

The discount is 20% of $150.

"Of" means times: 0.2 times $150.

That is $30.

discount = 0.2 × $150 = $30

To multiply decimals: first 2 times 150, as whole numbers.

That is 300.

Then count the decimal places: 1.

So it is 30.0.

2 × 150 = 300

1 decimal places: 30.0

Careful!

We can't just take 6% from 20%.

The tax is on the sale price, not on $150.

Careful: not 20% − 6% = 14% off: $129 ✗

2 Take it off

A discount comes off the price.

$150 minus $30 is $120.

sale price = $150 − $30 = $120

3 Find the tax

Percent means out of 100.

So 6% is 6 divided by 100: 0.06.

The point moves 2 places to the left.

6% = 6 ÷ 100 = 0.06

The tax is 6% of $120.

"Of" means times: 0.06 times $120.

That is $7.20.

tax = 0.06 × $120 = $7.20

To multiply decimals: first 6 times 120, as whole numbers.

That is 720.

Then count the decimal places: 2.

So it is 7.20.

6 × 120 = 720

2 decimal places: 7.20

4 Add it on

The tax is added to the price.

$120 plus $7.20 is $127.20.

total = $120 + $7.20 = $127.20

So the final price is $127.20.

5 Check

Let's check another way: we pay 100% minus 20%: 80% of the price.

0.8 times $150 is $120.

100% − 20% = 80%: 0.8 × $150 = $120

Then: we pay 100% plus 6%: 106% of the price.

1.06 times $120 is $127.20.

The same.

So the answer is right!

100% + 6% = 106%: 1.06 × $120 = $127.20

Let's look back.

First: find the discount.

Then: take it off.

Then: find the tax.

Then: add it on.

Last: check.

Answer