Question

In the Holiday Shop the manager wants 20% of the total inventory in the stockroom and the rest displayed on the floor. After meeting these instructions, you placed $35,000 of inventory in the stockroom. What is the dollar amount of the inventory on the selling floor?

Total Inventory

Inventory in the stockroom

Inventory on the selling floor

Answer 1

Total inventory: $175,000

Inventory in the stockroom: $35,000.

Inventory on the selling floor: $140,000.

Explanation:

Let x be the the total inventory.

We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.

We can set an equation such that 20% of x equals $35,000.

`(20)/(100)\cdot x=\$35,000`

`0.20x=\$35,000`

`(0.20x)/(0.20)=(\$35,000)/(0.20)`

`x=\$175,000`

Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.

`\text{Amount of the inventory on the selling floor}=\$140,000`

Therefore, $140,000 of the inventory on the selling floor.