yego.me
yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Part to whole ratio word problem using tables

2m read
·Nov 10, 2024

We're told that one month the ratio of indoor to outdoor play times for Yusuf's class was two to three. They had 30 total play times. How many of the play times were indoors? How many were outdoors?

Pause this video and see if you can figure that out.

All right, now let's work through this together, and I'm going to figure this out by setting up a little bit of a table. So we have our indoor play times. I'll write it out. Play times. We have our outdoor play times, outdoor play times. Then we have our total play times, total play times.

And then let me set up a table here, as promised. And then I'm going to set up two columns here. So the first column is going to concern itself with the ratios, so this is the original ratio. And here we're going to put the actual counts, actual counts.

So, what information do we know? We know that the ratio of indoor to outdoor is two to three. So the ratio of indoor to outdoor is two to three. And then we can also think about what would be the ratio of either of these to total play times.

Well, for every two indoor play times, there are three outdoor play times. That means for every two indoor play times, there are five total play times; or for every three outdoor play times, there are five total play times.

And now let's think about what we know about the actual counts. They tell us that there was a total of 30 actual play times. So this is the actual number: 30.

Now this is useful because now we can think about how do we go from the original ratios to the actual counts. If we take the total, we notice that we are multiplying by six. So to maintain the ratios, we would want to multiply everything by six.

So if you multiply this by 6, you're going to have 12 actual indoor play times. And if you multiply this by 6, you're going to have 18 actual outdoor play times.

And notice the ratio still holds up: 2 is to 3 as 12 is to 18; or 2 is to 5 as 12 is to 30.

And so there we have it. We know how many of the play times were indoors: 12, and how many were outdoors: 18.

How to Value a Stock like a Wall Street Analyst | Discounted Cash Flow and Comps
Warren Buffett: The Best 10 Minutes of Financial Advice on the Internet

More Articles

View All
The Deutsch Files III
On exactly that, the fact that the more that we summarize what I think is an exceedingly clear body of work in the fabric of reality in the beginning of infinity, when nonetheless you explain it to people as POA says, you know it’s impossible to speak in …
First Contact: Life Beyond Earth
On the 15th of August 1977, Ohio State University’s radio telescope Big Ear was listening to the apparent emptiness of the cosmos, as it did every other day. The great silence, as it is often called, persisted, disturbed only by the noisy residents of Ear…
The Painful Task of Resetting the U.S. Economy
In the past two weeks, serious difficulties at a small number of banks have emerged. Isolated banking problems, if left unaddressed, can undermine confidence in healthy banks and threaten the ability of the banking system as a whole. That is why, in respo…
2015 AP Physics 1 free response 3c
All right, now let’s tackle part C. Use quantitative reasoning, including equations as needed, to develop an expression for the new final position of the block. Express your answer in terms of D. All right, I’m going to set up a little table here for par…
Helping verbs | The parts of speech | Grammar | Khan Academy
Hello, Garans. Now, we’ve already talked about how verbs can show actions and link concepts, and today I’d like to talk about a third function of the verb, which is helping other verbs. Now, we call this the helping verb. You may have heard it called tha…
Dark Web: The Unseen Side of The Internet
The Internet has changed everything, from the way we work to the way we play to the way we live. It seems that there’s a corner of the internet for everyone; despite what interests you have, despite what your beliefs are, there’s someone or something out …