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

Ratios with tape diagrams (part:whole)


2m read
·Nov 10, 2024

  • [Instructor] We're told that Peni wrote a survey with open-ended and multiple-choice questions. The diagram shows the ratio of the question types. So what it shows us is that for every one, two, three, four, five open-ended questions, there are one, two, three, four multiple-choice questions.

And let's be clear, this is showing the ratio of open-ended questions to multiple-choice questions. It's not telling us exactly how many of each type of question we have. We just know for every five open-ended, there are four multiple-choice, or for every four multiple-choice, there are five open-ended.

The table shows some numbers of multiple-choice questions and total questions that could be on Peni's survey. Based on the ratio, complete the missing values in the table. So like always, pause this video and see if you can have a go at this on your own before we work through it together.

Alright, so some of you might not have realized that it says total questions here. It does not say multiple-choice questions and open-ended questions. So, one way to tackle this is to think about, well, what is going to be the ratio between multiple-choice questions and total questions?

So, let's think. If we were to create another bar for total questions that showed the ratio, for every five open-ended questions, you'll have four multiple-choice questions and you would have nine total questions. So it would look like this: one, two, three, four, five, six, seven, eight, and nine. I'm just adding these two together.

So, we could say that the ratio of multiple-choice to total questions is going to be four to nine. For every four multiple-choice questions, you're going to have nine total questions. So, in this first row, we have eight multiple-choice questions. So, that's two sets of four.

So, we're gonna have two sets of nine total questions. That still is the same ratio. Eight is to 18 as four is to nine. And now in the second row, they give us the actual number of total questions. Well, that is nine goes into 45 five times.

That's five sets of nine. So you're gonna have five sets of four multiple-choice questions. So five times four is 20, and we're done.

More Articles

View All
Witness to Steve Irwin's Death - Smarter Every Day116
Hey it’s me Destin, welcome back to Smarter Every Day. So I think we will all agree that Steve Irwin was one of the best science communicators that has ever existed. I mean he knew the knowledge and it was like a fire in his bones; he had to share it wit…
Similar shapes & transformations
[Instructor] We are told that Shui concluded the quadrilaterals, these two over here, have four pairs of congruent corresponding angles. We can see these right over there. And so, based on that, she concludes that the figures are similar. What error, if a…
Dino Dig - Linked | Explorer
NARRATOR: Welcome to Moab, Utah, surrounded by thousands of square miles of Mars-like Red Rock landscape and the mighty Colorado River. Surprisingly, Utah has yielded fossils from more dinosaur species than any other state. And that fact alone makes for a…
We Got Us a Goat | The Boonies
[Music] You’re a little bigger. I put a saddle on you, make this trip a lot easier. In Onion Creek, Washington, DOC Leverett has successfully bartered for a lamancha bear goat, the kind of renewable food source he needs to sustain his life above the grid…
Choosing between its and it’s | The Apostrophe | Punctuation | Khan Academy
Hello Garans and hello Paige. Hi David! So, what are we working on today? Today, we’re going to talk about the difference between “its” and “it’s.” Oh, well, that sounds real tricky! Yeah, but we’ll be okay. Okay, so “it’s” with an apostrophe. So we ha…
The Making of 'Genius' | National Geographic
Genius is the first scripted series on Matt Gio. The first season of Genius is the story of Albert Einstein, which we’re telling over the course of 10 episodes. We all know, uh, of his genius, his gifts, but Albert Einstein’s private life is far more comp…