Algebra help?

Question

My mom keep telling me that my homework problem is wrong when I know for a fact its right.

What is 35% of 640??
I put 864.

amount=percent times base
1.35%(640)=864

What am I doing wrong???

Thank you guys for all your answers . You made me realize that I was using 135% instead of 35%. Thanks!!!

Answer 1

35% of 640 is the same as
=0.35*640 (35% converted into decimals is 35/100 = 0.35)
=224

1.35% in decimals is 1.35/100 = 0.0135
So we have 0.0135*640=8.64

Therefore, you have to convert % into decimals before doing the calculations (so I think your mother is correct in this case)

Answer 2

Do not just blindly plug in values. To help you analyze the question or problem, ALWAYS remember 100% of anything is always the given. In short, 100% of 640 is 640!

Now, since your given percentage is 35%, which is a lot smaller than 100%, then you expect your answer to be a lot smaller than 640. It is
0.35 * 640 = 224. So, sorry, your mom is right in saying that you are wrong. But I wonder what her answer is.

Anyway, Convert the % to decimal first then multiply the 640 to get the answer.

On the other hand if the given percentage is 135% which is bigger than 100%, then multiply by 1.35!. Note anything less than one like .35 will give a low number and a number like 1.35 > 1 will give a larger number.

If you remember this, you can easily check if your answer is correct or not.

Just for your info; 1,035 % into decimal is 10.35.

Have a happy new year. I am impressed you are doing math during the Christmas break! Good going!

Answer 3

Find the amount when the base and percent are known.

Amount = Base x percent

let

640 = base

Convert 35 % to decimal.

Remove the % symbol

Divide 35 by 100

35 / 100 = 0.35

Multiply 640 times the decimal

640 x 0.35 = 224

The amount is 224

224 is 35 % of 640

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Find the balance or remainder

subtract 224 from 640

640 - 224 = 416

The balance/ remainder is 416

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Answer 4

35% converted into decimal form is 0.35 (pretend that there's an imaginary decimal after the 5, and move the decimal two times to the LEFT).

Then you do simple multiplication:
0.35 * 640 = 224.

It is impossible for 864 to be 35% of 640, since it's a bigger number.

Answer 5

35% of 640 means
(35*640)/100 equals to 224 . this is the answer.

Answer 6

yOU ARE SAYING:
amount=percent times base
1.35%(640)=864

It is not 1.35%, it is 35%
35% = 0.35
640*0.35= what ever everyone got..
(I don't have a calculater beside me and I am too lazy to do it in my head!)

DO YOU UNDERASTAND?
It is not 1.35% but 35%
So it 0.35

When you multiply by 135% (which you did) you get great number than at the beginning because you are multiply by it self AND adding on the 35%

Answer 7

What you're doing wrong is putting the 1 before the decimal point. 1.35 time something is 135% since 1 times is 100%. So unless the percentage is greater than 100%, you always have to multiply by a decimal less than 1.00

Answer 8

think is/of = %/100 so it would be ?/640= 35/100 and then you cross multiply so 35 times 640=22400 divided by 100=224 so the answer is 224...it is even easier if you wright it out on paper and think of the words is over of = % over 100

Answer 9

0.35 x 640=224

Answer 10

you should put
0.35*640= 224