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Mathematics 11 Online
OpenStudy (anonymous):

A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is the total number of dancers in the school?

OpenStudy (anonymous):

Multiply 0.42 x 63.

OpenStudy (anonymous):

(0.42 is 42%)

OpenStudy (anonymous):

I did and it was not an answer that was there

OpenStudy (anonymous):

Did you move the decimal in the right place??

OpenStudy (anonymous):

what do mean dont you just Multiply

OpenStudy (anonymous):

0.42 x 63 = 26.46

OpenStudy (anonymous):

Thats what i got aswell

OpenStudy (anonymous):

wait look at this

OpenStudy (anonymous):

@kkdiamond With?

OpenStudy (anonymous):

ratios

OpenStudy (anonymous):

@kkdiamond Tbh i suck at ratios.

OpenStudy (anonymous):

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Oh... Then i have no clue.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

i will medal and fan

sammixboo (sammixboo):

\(\rm \color{#20bd23}{\dfrac{part}{whole}=\dfrac{percent}{100}}\) Part = 63 Whole = Unknown Percent = 42% Plug in the values given in the formula above \(\rm \color{#20bd23}{\dfrac{63}{whole}=\dfrac{42}{100}}\) We are trying to solve for the whole. The whole is your answer. The first step to solving this is to cross multiply 63 by 100, so what is 63 x 100?

OpenStudy (anonymous):

6300

sammixboo (sammixboo):

If you were trying to find 42% of 63, you would do this : 0.42 x 63, but you are not trying to find 42% of 63. You are trying to find 63 is 42% of what number.

OpenStudy (anonymous):

No...

OpenStudy (anonymous):

Cross multiply.

sammixboo (sammixboo):

Correct, so now we take 6300 and then divide it by 42, so what is 6300/42?

OpenStudy (anonymous):

42x = 6300

OpenStudy (anonymous):

6300 / 42.

OpenStudy (anonymous):

Crap, late.

OpenStudy (anonymous):

150

sammixboo (sammixboo):

Correct, so that is our answer :)

sammixboo (sammixboo):

And you can check by dividing 63 by 150, so 63/150

sammixboo (sammixboo):

If 63/150 = 0.42 = 42% then this is correct

OpenStudy (anonymous):

so can we go over it again pls

sammixboo (sammixboo):

You want me to explain the problem again?

OpenStudy (anonymous):

(FaceDesk)

sammixboo (sammixboo):

Because I can explain it in a more detailed way

OpenStudy (anonymous):

well how to do it pls

OpenStudy (anonymous):

yes pls

OpenStudy (anonymous):

Use the formula part/whole =percent/100.

sammixboo (sammixboo):

\(\rm \color{#20bd23}{\dfrac{part}{whole}=\dfrac{percent}{100}}\) Well, we have this formula that can help us, but what does part, whole, and percent mean? Part is a part of the number you are trying to find, so let's say you are trying to find '13 is 50% of 26' 13 would be your part, because you are trying to find 13 is 50% of your whole (26) The percent is, well.. The percent. Any other questions?

sammixboo (sammixboo):

It is difficult to explain sometimes. I wish I could find a good explanation, but that formula I have been using since forever and I don't remember the full explanation. I have to brb a second and I will try to explain some more

sammixboo (sammixboo):

OKay back. So say we have to find out 40 is 40% of what number |dw:1417703921174:dw| We can plug in the part and percent into the formula I have given.|dw:1417704032681:dw|

sammixboo (sammixboo):

Now, we can cross multiply the part, 40, by 100|dw:1417704115949:dw| Now we take 4,000 and divide it by the percent, 40.

sammixboo (sammixboo):

|dw:1417704167997:dw| So 40 is 40% of 100

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