Question Video: Solving Word Problems Involving Ratios | Nagwa Question Video: Solving Word Problems Involving Ratios | Nagwa

# Question Video: Solving Word Problems Involving Ratios Mathematics • Third Year of Preparatory School

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A school has 588 LE to spend on decorations. The money will be divided between classes 𝐴, 𝐵, and 𝐶 in the ratio 2 : 4 : 6. How much money does each class get to spend on decorations?

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### Video Transcript

A school has 588 Egyptian pounds to spend on decorations. The money will be divided between classes 𝐴, 𝐵, and 𝐶 in the ratio two to four to six. How much money does each class get to spend on decorations?

We’re given information about a total amount and the ratio in which to share this, where the ratio tells us the amounts of money each class gets compared to each other. In other words, class 𝐴 gets two parts, class 𝐵 gets four parts of the whole, and class 𝐶 gets six parts.

Now, two plus four plus six is 12, so we’re going to be sharing our total amount of money into 12 parts. And of course, when we think about sharing an amount, we’re dividing. So we need to work out what one part is worth by dividing 588 by 12. 588 divided by 12 is 49. So that tells us that each one part is worth 49 Egyptian pounds.

With this in mind, we can now work out how much total money class 𝐴 gets, class 𝐵, and class 𝐶. Since class 𝐴, we said, gets two parts, it gets two times 49, which is 98 Egyptian pounds. Class 𝐵 gets four parts, so they get four times 49, which is 196 Egyptian pounds. Finally, class 𝐶 gets six parts. That’s six times 49, which is 294 Egyptian pounds.

And of course, a really quick way to check whether the calculation we have done is likely to be correct is to add these values up and double-check they do indeed add to 588 pounds. Since 98 plus 196 plus 294 is 588, it’s likely we’ve done our calculations correctly. Class 𝐴 gets 98 Egyptian pounds, 𝐵 gets 196, and 𝐶, 294.

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