Stan wants to arrange his books in order of size. Half of the books are medium, 2/10 are large and 12 are small. What is the total number of books Stan has?
7/10 of the books are not small.
3/10x = 12
x = 12 / (3/10)
x = 12 * (10/3)
x = 120/3
x = 40
let, total number of books= X
Small= 12
Remaining books = X-12
now,the remaining books comprise:
1/2X= Medium
2/10X= Large
Therefore,
1/2X+2/10X=X-12
Solve for X and you will get the answer!!
To find the total number of books Stan has, we need to add together the number of medium, large, and small books.
Given that half of the books are medium and 12 are small, we can calculate the number of medium books. We know that the number of medium books is equal to half of the total number of books. So, if x represents the total number of books, then the number of medium books is x/2.
Next, we are given that 2/10 of the books are large. Since 2/10 is equivalent to 1/5, we can rewrite this as 1/5 times the total number of books: (1/5)x.
Finally, we know that there are 12 small books.
To find the total number of books, we add up the number of medium, large, and small books:
Total number of books = Number of medium books + Number of large books + Number of small books
Total number of books = x/2 + (1/5)x + 12
Now, we need to solve this equation to find the value of x, which represents the total number of books.