Simple ratio problem for kids

Introduction

• The video begins with the host introducing themselves and the topic of the video, which is a simple ratio problem.

• The host mentions that the problem is so simple that they don't need to write it on the board.

"Hello, good day viewers! Today I have decided to show my face in front of a camera just to solve one simple problem which is related to ratio. It is so simple that I don't even have to write it on the board."

Problem Scenario: Sharing a sum of money

• The host explains that they were given one thousand dollars but have already spent some of it.

• They were later asked to share the remaining amount with someone named Issomnafu.

• To find the two shares, the host declares a variable, X, to represent their share.

"One thousand dollars was given to me, but later on, I was asked to share it with Issomnafu. Since I've already started spending some of the total amount, I decided to give Issomnafu two out of three of my remaining share. Let's find out the two shares."

Setting up the equation

• The host states that they don't know the amount they have collected so far and represents it with a variable, X.

• They explain that 2/3 of X will be given to Issomnafu.

• By adding 2/3 of X to X, the sum should be equivalent to the original amount of one thousand dollars.

"What was given to us is one thousand dollars. But since we don't know the amount I have collected, we may declare it with a variable. Let my share be represented by X. Therefore, 2/3 of X will be given to Issomnafu. So, the equation is X + 2/3X = 1000."

Solving for X

• The host simplifies the equation by multiplying every term by three to get rid of the fraction.

• After simplification, the equation becomes 5X = 3000.

• Dividing both sides of the equation by five, they find that X is equal to 600 dollars.

"To avoid solving the problem with fractions, I will multiply every single term by three to clear the fraction. So, 3X + 2X = 3000. Simplifying further, we get 5X = 3000. Dividing both sides by five, X equals 600."

Calculating the other share

• The host states that if their share is 600 dollars, the other person's share must be 400 dollars.

• They mention there are two ways to compute the other share: subtracting 600 from 1000 or taking 2/3 of 600.

• In both cases, the result is 400 dollars.

"If my share is 600 dollars, then the other person's share must be 400 dollars because 400 + 600 equals 1000. So, there are two ways to compute the other share. You can subtract 600 from 1000 or take 2/3 of 600. In either case, the result is 400 dollars."

Ratio of the two shares

• The host questions the viewers about the ratio between their share and Issomnafu's share.

• They state that their share is 600 dollars while Issomnafu's share is 400 dollars.

• They ask what the ratio between these two shares is.

"Who can tell us the ratio of our shares? I got 600 dollars, while Issomnafu got 400 dollars. What is the ratio between these two shares?"

"By subtracting 600 from 1000, you're going to get 400, which is obvious. But you can also take 2/3 of my share, which is 600. You know that 3 can divide 3 one time, and 3 can divide 6 two times. We have 200 here, and 2 times 200 is equal to 400. So, in another way, you get 400. So the question I would like to ask here is, who can tell us the ratio of our shares because I got 600 dollars while someone else got 400. What is the ratio between these two shares?"