An algebra book weighs 6oz less than twice as much as a grammar book. If 5 algebra books weigh the same as 8 grammar books, how much does an algebra book weigh.
a = 2g-6
5a = 8g
Now just solve for a.
To find out how much an algebra book weighs, let's first assign a variable to represent its weight. Let's say "x" represents the weight (in ounces) of the algebra book.
We are given that the algebra book weighs 6 ounces less than twice as much as a grammar book. So, twice the weight of a grammar book would be 2x, and then if we subtract 6 ounces, we have the weight of the algebra book.
The weight of the algebra book is given by the expression 2x - 6.
Next, we are told that 5 algebra books weigh the same as 8 grammar books. This can be expressed as:
5 * (2x - 6) = 8 * x
Now we can solve this equation to find the weight of an algebra book.
10x - 30 = 8x
Simplifying the equation, we get:
10x - 8x = 30
2x = 30
Dividing both sides by 2, we find:
x = 15
Therefore, an algebra book weighs 15 ounces.