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Zarrin [17]
3 years ago
7

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?

Mathematics
1 answer:
sattari [20]3 years ago
5 0

Answer:

67.52

Step-by-step 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!

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