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Hoochie [10]
3 years ago
6

7,210 books in a library are organized into 3 rooms. there are 1,960 more books in the first room than in the second room. the n

umber of books in the second room is three times the number of books in the third room. how many books are in the third room?​
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

750 books

Step-by-step explanation:

Let there be "x" number of books in the 3rd room

Now,

2nd room has 3 times as 3rd room, so we can write:

Second Room = 3x

Also, there are 1960 MORE books in 1st room than 2nd room, so we can write:

First Room = 3x + 1960

In total there are 7210 books in all three rooms, thus we can write:

First Room + Second Room + Third Room = 7210

Now, replacing the first 2 equations in this, we get:

3x + 1960 + 3x + x = 7210

Solving for x:

3x + 1960 + 3x + x = 7210\\7x=7210-1960\\7x=5250\\x=\frac{5250}{7}\\x=750

"x" is indeed what we are looking for. Thus,

There are 750 books in the third room

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