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Mathematics 17 Online
zarkam21:

7th grade math problem **** Sister of @zarkam21*****

zarkam21:

Ryan used 12 sheets of paper today. This was 40% of the sheets he had. How many sheets did he have

zarkam21:

@Vocaloid

Shadow:

\[1 \times 30\% = 1 \times 0.3 = 0.3\]

Shadow:

For this problem, we would have. \[x \times 40\% = x \times 0.4 = 12\]

silvernight269:

I would multiply 12 and 40/100

silvernight269:

Then add the 12 and the answer together

Shadow:

Then it would just be a simple solve for x.

Shadow:

@zarkam21 Do you know how to solve for x?

zarkam21:

No I''m in 7th grade we didnt learn that yet

zarkam21:

We are just learning percents and how you subtract and/or add

zarkam21:

No im her sister. She said I could use her avccount if I needed help with my homework

Shadow:

So you have never heard of isolating the variable?

zarkam21:

NO :(

Shadow:

Hmm well x just represents a number that we're trying to figure out. That number in this case, is how many sheets of paper Ryan has. In order to do this, we need to display a true equation involving x. x times 40% = 12 This is true, because 40% of the total number of Ryan's sheets is 12.

zarkam21:

Okay and then from there?

Shadow:

From there, we solve for x. This is what we call, isolating the variable. See the equal sign? Consider that a wall that creates two sides, one on the left and right. We want x to be alone on one side. This involves something called order of operations, PEMDAS. Have you heard of this?

zarkam21:

Yes last year

Shadow:

Paratheses Exponents Multiplication Division Addition Subtraction We only care about M and D right now. Consider multiplication and division to be "opposite" operations. For example, 2 times 3 is 6 If can reverses this operation by doing 6 divided by 3, to get 2.

lowkey:

Learn it by Please Excuse My Dear Aunt Shameka My math teacher was black, and told us she didn't have an aunt Sally. :/

zarkam21:

so 12+2?

Shadow:

@Vocaloid Person with big brains is going to show you an easier way, since me teaching you a lot of algebra wouldn't be ideal, lol.

zarkam21:

4.8?

Vocaloid:

sooo this method won't work every single time, but since we have easy numbers... if 12 pages = 40% of the whole project then we can half both numbers to get 6 pages is 20%, with me so far?

zarkam21:

yes

Vocaloid:

20% is equivalent to 1/5 (since 20/100 simplifies down to 1/5) so if 6 pages is 1/5 of the whole project, then 6*5 will give you the total number of sheets

zarkam21:

30

Vocaloid:

yup, so 30 pages would be your sol'n

zarkam21:

thank you

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