There are 25 books in a bookcase. The books in the bookcase are all math, science, and history books. Seven of the books are math books. There are 4 fewer science books than history books. How many science books are in the bookcase?
First you need to assign your unknowns
Math Books: 7
History: x
Science Books: x-4
Total books: 25
so your equation is going to be
7+x+x-4=25
Then you can solve. I hope this help!
To determine the number of science books in the bookcase, let's break down the given information and solve step by step:
1. The total number of books in the bookcase is given as 25.
2. Out of the 25 books, 7 are math books.
3. Let's represent the number of science books as 'x.'
4. According to the given information, there are 4 fewer science books than history books.
So, the number of history books can be represented as 'x + 4.'
Now, let's determine the number of science books:
1. Math books + Science books + History books = Total books
7 + x + (x + 4) = 25
7 + 2x + 4 = 25 (combine like terms)
2. Simplifying the equation further:
2x + 11 = 25 (subtract 11 from both sides)
2x = 14 (subtract 11 from both sides)
x = 7 (divide both sides by 2)
Therefore, there are 7 science books in the bookcase.