Question

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?

Answer 1

To answer this item, we let x be the current number of chairs. After adding 50 chairs to the current inventory, the total number of chairs would then be equal to x + 50. The equation that would allow us to determine the value of x is written below.

     x + 50 = (3/2)(x)

Simplifying the equation,
   x + 50 = 3x/2
  x - 3x/2 = -50
   -x/2 = -50

Dividing both sides of the equation by -1/2, the value of x is equal to 100. 

To increase the inventory by 40%, the equation would be,
    y = x(1.4) = 1.4(100) = 140

ANSWER: 140 chairs