one day, the northwest woodworks studio produced six times as many bookshelves as the southeast woodworking guild. If the difference in their production is 15, how many bookshelves did the southeast woodworking guild produce that day?
If the south guild produced x, then the north guild produced 6x. Now, what else do we know?
6x - x = 15
now just crank it out
Southeast = X bookshelves.
Northwest = 6x bookshelves.
6x - x = 15.
X = ?
To solve this problem, we can set up an algebraic equation.
Let's assume that the number of bookshelves produced by the southeast woodworking guild is represented by the variable 'x'.
According to the problem, the northwest woodworks studio produced six times as many bookshelves as the southeast woodworking guild. This means that the number of bookshelves produced by the northwest woodworks studio is 6x.
The problem also states that the difference in their production is 15. So, we can set up the equation:
6x - x = 15
Simplifying this equation:
5x = 15
Now, we divide both sides of the equation by 5 to isolate the variable x:
x = 15 / 5
x = 3
Therefore, the southeast woodworking guild produced 3 bookshelves that day.