Question

If the manager of a store adds 50 lamps to its current inventory, the resulting total number of lamps will be the same as three-halves of the current inventory. If the manager wanted to increase the current inventory by 40%, what would his new inventory of lamps be?

Answer 1

So if he adds 50 lamps to some unknown quantity, we can denote that as: X + 50, where X is the unknown quantity.

That X + 50 is equal to three halves (3/2) of the unknown quantity before the 50 lamps were added, so that is denoted simply as: 1.5X (3/2 is 1.5).

Answer 2

Before we can figure out the number of lamps with another inventory hike, we must first figure out how much X is. The problem gives us the basic foundation of the problem by using the word "same," indicating that something is equal to something else; in this case, the new inventory (X + 50) is equal to three halves of the original inventory (1.5X). So here's what you do:

Answer 3

X + 50 = 1.5X

Answer 4

solve that first and then we'll talk about the next step

Answer 5

Okay.
So, I did this.
Is this correct? I'm not sure. :\