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zhuklara [117]
3 years ago
13

tim has a large collection of books. the number of paperback books he owns is three less than four times the number of hardcover

books, in total tim had 447 books how many hardcover books does he own
Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

Answer:

tim has 90 hardcover books

Step-by-step explanation:

yan [13]3 years ago
6 0
We can solve this by setting up a couple of equations.

Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.

Using the information in the question, we can write the equations:

1) x = 4y-3
2) x+y=447

Let's rearrange equation 1 so that it is in standard form:

x-4y=-3

And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:

4(x+y=447)
4x+4y=1,788

Then we can add the two equations and solve for x:

   1)  x-4y=-3
+ 2) 4x+4y=1,788
------------------------------------
5x=1,785

x=357

So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):

357+y=447
y=90

And now we know that Tim owns 90 hardcover books.
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