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aleksley [76]
1 year ago
8

At a school book fair, 3/5 of the books are nonfiction books. of the nonfiction books, 1/4 are animal books. what fraction of th

e book fair books are animal books? move numbers to the boxes to show the fraction.
Mathematics
1 answer:
bulgar [2K]1 year ago
5 0

Answer:

Animal books make up (3/20) of all books

Step-by-step explanation:

Let X be the total number of books, made up of nonfiction, animal, and all others.

(3/5)X are nonfiction books.

Of the nonfiction books, 1/4 are animal books:  (3/5)*(1/4)X = (3/20)X are animal books

[This means that Nonfiction, less animal books is:  (3/5)X - (3/20)X]

Animal books make up (3/20) of all books.

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<h3>Answer: 9.75 dollars</h3>

===========================================================

Explanation:

There are two ways to solve this problem.

Method 1:

35% = 35/100 = 0.35

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So you save $5.25, which is the discount amount.

The sale price is 15 - 5.25 = 9.75 dollars

---------------

Method 2:

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Extra info (optional section)

The benefit of method 2 is that we can chain multiple discounts together. Consider that on top of the 35% discount, the store then decides that members (people who pay monthly) will get an extra 10% off. The natural thinking is that the total discount is 35%+10% = 45% off, but that's not correct.

We can see this if we say that the original price is say $100 and 35% off would lead to a price of 0.65*100 = 65 dollars. Then an extra 10% off means we pay 90% of that new price (65 dollars) to get 0.90*65 = 58.50

As a shortcut, we can just multiply the values of 0.65*0.90 = 0.585

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Since the item was $100 but now it's 58.50, this means we saved 100-58.50 = 41.50 dollars. The discount is therefore 41.50/100 = 41.50% which is close to the 45% calculated earlier, but not quite there.

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