the library has 441 storybooks and magazines altogether there are 8 times as many storybooks as magazines how many more storybooks then magazines are there in the library
Let's denote the number of magazines as M and the number of storybooks as S.
According to the information given, we can establish two equations:
1) S + M = 441 (The total number of storybooks and magazines)
2) S = 8M (There are 8 times as many storybooks as magazines)
Substituting the value of S from equation 2 into equation 1, we get:
8M + M = 441
9M = 441
To find the value of M, we divide both sides of the equation by 9:
M = 441 / 9
M = 49
Now, plugging the value of M back into equation 2, we can find the value of S:
S = 8M
S = 8 * 49
S = 392
Therefore, there are 392 storybooks and 49 magazines in the library. To find the difference between the number of storybooks and magazines, we subtract the number of magazines from the number of storybooks:
392 - 49 = 343
So, there are 343 more storybooks than magazines in the library.
To find out how many more storybooks there are than magazines in the library, we first need to determine the number of storybooks and magazines separately.
Let's assume the number of magazines in the library is represented by 'm'. Since there are 8 times as many storybooks as magazines, the number of storybooks can be represented as '8m'.
The problem states that the library has 441 storybooks and magazines altogether. So we can create the equation:
8m + m = 441
Combining like terms, the equation becomes:
9m = 441
Now, we can solve for 'm' by dividing both sides of the equation by 9:
m = 441 / 9
m = 49
Therefore, there are 49 magazines in the library.
To find the number of storybooks, we can substitute the value of 'm' into the equation:
8m = 8 * 49
8m = 392
Therefore, there are 392 storybooks in the library.
To determine how many more storybooks there are than magazines, we subtract the number of magazines from the number of storybooks:
392 - 49 = 343
Hence, there are 343 more storybooks than magazines in the library.
storybooks --- x
magazines ---- y
x + y = 441
x = 8y
use substitution ...
8y + y = 441
carry on.