An algebra book weighs 6 oz 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?

define variables and form an equation like I just showed you in the previous post

let me know what you did.

24 0z

What previous post, rainy.

Thanks Reiny, I didn't see your previous post, but I saw what I did wrong. I stopped at solving for g and didn't plug in for the algebra book.

To find out how much an algebra book weighs, we can set up a system of equations based on the information given.

Let's assume the weight of a grammar book is x ounces.
According to the given information, the algebra book weighs 6 ounces less than twice the weight of a grammar book. Therefore, the weight of the algebra book can be expressed as 2x - 6 ounces.

The second piece of information states that 5 algebra books weigh the same as 8 grammar books. Expressing this in equation form:
5(2x - 6) = 8x

Now we can solve this equation to find the value of x, which represents the weight of a grammar book.
10x - 30 = 8x
10x - 8x = 30
2x = 30
x = 30 / 2
x = 15

Therefore, the weight of a grammar book is 15 ounces.

Finally, we can substitute the value of x back into the expression for the weight of an algebra book to find its weight:
Weight of algebra book = 2x - 6
Weight of algebra book = 2(15) - 6
Weight of algebra book = 30 - 6
Weight of algebra book = 24 ounces

So, an algebra book weighs 24 ounces.