139k views
4 votes
Susan is buying dress costing $80 that is on sale for 20% off. The sales tax is 5.5%. How much will she pay for the dress?

User Rob Whelan
by
8.8k points

1 Answer

3 votes

Answer:

67.52

Explanation:

So lets split it up.

First lets find the value of the dress when it is 20% off.

Then, lets find what it cost with 5.5% tax.

20% of a number is 1/5. We need to subtract 1/5 of 80 from 80. Or, in other words, we need to get 4/5 of 80.

So lets first divide 80 by 5, then multiply the 4.

Basically diving by the denominator, and multipling by the numerator. This is a useful trick when finding the fractional value of a number.

So:

80/5=16

A easy way to know what you get when dividing by 5s, is to take the number, multiply it by 2, then remove the 1s place.

As we can see: 2*80 is 160

Remove the ones place: 160 = 16

So we can see that 16 is our 20% of 80.

Remember, the question says we must remove 20% of the 80 dollars, so we must subtract 16 from 80:

80-16=64

So now we need to increase 64 by 5.5% to find the tax increase, and get our answer.

This is how I found my answer:

Put the 5,5% into decimal form - 0.055

Multiplied the 64 by the 0.055

5*64=320 - when multiplying by 5, we can divide the number by 2, then add a zero. This is the opposite of the dividing 5 trick,

64/2=32 + 0 = 320

Since theer is a 5 in the tenths place, and the hundreths. I just added this in twice:

3.20+0.320 = 3.52

This is 5.5% of 64.

Remember, we are increasing the price by 5.5%, so we are adding this to 64:

64+3.52=67.52

This is your answer.

Hope tihs helps!

User Ahmad Fouad
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.