3000 exercise books are arranged in 3 piles.The first pile has 10 more books than the second pile.The number of books in the second pile is twice the number of books in the third pile.How many books are there in the third pile?
Let x = # books in third pile, then second pile = 2x, and first pile = 2x + 10.
x + 2x + (2x+10) = 3000
Solve for x.
To find out how many books are there in the third pile, we need to go step by step using the information provided.
Let's assume the number of books in the third pile is x.
According to the given information, the second pile has twice the number of books in the third pile. So, the second pile has 2x books.
The first pile has 10 more books than the second pile. So, the first pile has 2x + 10 books.
Now, to find the total number of books, we add up the number of books in each pile: x + 2x + 2x + 10 = 3000.
Combining like terms, we have 5x + 10 = 3000.
Subtracting 10 from both sides, we get 5x = 2990.
Finally, dividing both sides by 5, we find x = 598.
Therefore, there are 598 books in the third pile.