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?



The correct answer is 140. This word problem requires careful translation. Let's say t = total current inventory of chairs. The first sentence states that 50 + t = (3/2)t. First solve for the current inventory:
50 + t = (3/2)t
50 = (3/2)t − t
50 = (1/2)t
100 = t

The manager wants to increase this by 40%. 40% of 100 is 40, so the new inventory will be 140.

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