Question

Doors for the small cabinets are 17.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 12 feet long? large door(s) can be cut.

Answer 1

3 large doors

Explanation:

Given

`Board = 12ft`

Represent small door with S and large with L

`S = 17.5\ in`

From the question, we understand that;

`L = 2.7 * S`

So, we have that

`L = 2.7 * 17.5\ in`

`L = 47.25\ in`

Required

Determine the number of Large doors that can be cut from the board

To do this, we simply divide the size of the board by the size of the large cabinet

i.e.

`Number = (Board)/(L)`

`Number = (12\ ft)/(47.25\ in)`

Convert feet to inches

`Number = (12 * 12\ in)/(47.25\ in)`

`Number = (144\ in)/(47.25\ in)`

`Number = 3.04761904762`

Get the integer part of the decimal

`Number = 3`

Hence:

3 large doors can be gotten from the board