Question

Monique has two artificial christmas trees In her apartme t the taller tree is 12 inches shorter than 5 times the height of the smaller tree of she stacked the shorter tree on top of the taller tree they would be a total of 60 inches tall find the heights of the taller tree and the shorter tree

Answer 1

Hey!~

The two trees are 12 and 48 inches tall.

Hope this helps and have a great day!

-Lindsey

Answer 2

The taller tree is 48 inches, and the smaller tree is 12 inches height.

Explanation:

Givens

• The taller tree is 12 inches shorter than 5 times the smaller tree.
• The sum of both tree's height is 60 inches.

First, we have to expresses each sentence into an equation

`T=5S-12`

Where
`T` is the taller tree, and
`S` is the smaller tree.

This relation expresses that the taller tree is 12 inches shorter than 5 times the smaller tree.

`T+S=60`

Because they sum of both height is 60 inches.

Now, we replace the first equation into the second one, and solve for
`S`

`5S-12+S=60\\6S=60+12\\S=(72)/(6)=12`

Then, we replace this value in one equation to find the other variable

`T+S=60\\T+12=60\\T=60-12=48`

Therefore, the taller tree is 48 inches, and the smaller tree is 12 inches height.