If a store adds 50 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 40%, what will the new inventory of chairs be?
First solve for the current inventory:
50 = 3t/2 - t
t = 100.
The manager wants to increase this by 40%. We know that 40% of 100 is 40, so the new inventory will be 140.