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### Course: 7th grade (Eureka Math/EngageNY)>Unit 4

Lesson 1: Topic A: Finding the whole

# Percent word problem: recycling cans

In this math lesson, we learn how to calculate the percentage of recycled cans. Given that 13 out of 20 cans are recycled, we divide 13 by 20 to get 0.65 as a decimal. Multiplying by 100, we find that 65% of cans are recycled, promoting eco-friendly practices and waste reduction. Created by Sal Khan.

## Want to join the conversation?

• this is so hard i still dont under stand this and btw im only in 6th grade and im dumb i vant do it
• Hi!
First of all, you are super smart! Don't be mad at yourself - it will only make you feel worse! Believe that you CAN do it!

I would recommend trying to do this problem this way:
Ok, so let's make the fraction bigger. Twenty times five is 100, but since we have to multiply both parts of the fraction equally, then we multiply 13 by 5 also. This gives us a fraction of 65 over 100, or 65%. Does this make sense?
• it not clear on how you get percent
• multiply the number (from which percentage is going to be find) with 100 and divide the number. like there are 13 cans out of 20 then it will be like this= 13*100/20
=13*10/2
= 13*5
• Instead of moving the decimal point 2 places to the right, we could have ALSO made 0.65 as 65/100 and since 100 is the same thing as PERCENT, we could write it as 65% too...
• ORRRRRRR you can make it even easier and just do
13/20 since 13 is out of the whole number 20.
I would recommend you write this setup down to make it easier.
so as I said 13/20 because 13 is a part of the whole number which is 20.
soooooo, after that set it up in fraction form.
Let me backtrack a little. so what you're going to do is you're going to set up 13/20 in a fraction form. on the left side before the equal sign. After the = sign, you would put ?/100. why did I choose over a hundred well because that Will be your variable and 100 is a total number that you're going to take from. after that you're going to cross multiply or as you would call the butterfly effect so what you're going to do is going to multiply 13 * 100 fraction that is after equal signs of 13 * 100 and that will give you 1300. Ater that your going to * 20 which is the denominator of 13. the whole number 1300* the variable or? XYZ whatever it doesn't really matter then you're going to do 13* 100 which is 1300. then you multiply 20 by the variable in this case X. after you multiply 20*X, that should give you 20x. so the setup now should be 1300 is equal to or = to 20x.
Since you multiplied now do the opposite, divide. whatever sign you use first do the oppisite of that next. So if you add then subtract, if you times then divide, and vise versa!
now you have to divide with whatever the denominator number is in this case the number would be 20 you have to divide both sides by the denominator which is 20. equal number so that would be 20 so you would divide 1300 divided by 20 that should give you 65. Then 20X / 20, it would be 1 or in this case 1X or just X.
Hopefully, this helped everyone. The butterfly effect is very easy or in other words, cross multiplication.
• Wouldn't you be able to just do 13 divided by 2 over 10 and get 65%?
• 13/2 over 10 = 0.65
To get to a percent, you must then multiply by 100
0.65 * 100 = 65%
• When you divide by 10 or 100 etc, you move the digits. So the place value is changing, not the decimal point.
• At I think Sal should have said forget the numerator
• He actually said, "to get the denominator from 20 to 100 you would multiply by 5" so he is correct, the person who transcribed the video just made a little mistake.
• Wouldn't it be easier to just multiply 20 by 5 to get 100, and then multiply 13 by five to get 65? Then we could do 65 out of 100, which would get us to 65%.
• That's a way to do it, and that's what Sal did around
• Hi!
First of all, you are super smart! Don't be mad at yourself - it will only make you feel worse! Believe that you CAN do it!

I would recommend trying to do this problem this way:
Ok, so let's make the fraction bigger. Twenty times five is 100, but since we have to multiply both parts of the fraction equally, then we multiply 13 by 5 also. This gives us a fraction of 65 over 100, or 65%. Does this make sense?