If a store adds 50 chairs to its current inventory, the total number of chairs will be 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?
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Detailed Explanation
This word problem requires careful translation. Let’s say t = total current inventory of chairs. The first sentence states that 50 + t = 3t/2. First solve for the current inventory:
50 + t = 3t/2
50 = 3t/2 - t
50 = 1/2t
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.
50 + t = 3t/2
50 = 3t/2 - t
50 = 1/2t
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.
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