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

Respuesta :

Answer:

Total inventory: $175,000

Inventory in the stockroom: $35,000.

Inventory on the selling floor: $140,000.

Step-by-step 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.

[tex]\frac{20}{100}\cdot x=\$35,000[/tex]

[tex]0.20x=\$35,000[/tex]

[tex]\frac{0.20x}{0.20}=\frac{\$35,000}{0.20}[/tex]

[tex]x=\$175,000[/tex]

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

[tex]\text{Amount of the inventory on the selling floor}=\$140,000[/tex]

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