Question

Steve and Abby purchased a set of vases to place on a 12 foot long mantel above their fireplace. They want to place one vase 1/4 of the distance from one end of the mantel and the other vase 3/4 of the distance from the same end. How many feet from the end of the mantle should each vase be placed

Answer 1

Answer: One vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.

Explanation:

You know that lenght of the mantel above their fireplace is 12 feet.

They want to place one vase
`(1)/(4)` of the distance from one end of the mantel. This distance in feet is:

`distance_(vase1)=(12feet)((1)/(4))\\\\distance_(vase1)=3feet`

They want to place the other vase
`(3)/(4)` of the distance from the same end of the mantel. Therefore, this distance in feet is:

`distance_(vase2)=(12feet)((3)/(4))\\\\distance_(vase2)=(36feet)/(4)\\\\distance_(vase2)=9feet`

Therefore, one vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.