Question

Monique has two artificial christmas trees in her apartment. the dollar tree is 1 foot shorter than five times the height of the smaller tree. if she's stacked the shortest tree on top of the dollar tree they would be a total of 60 inches tall. find the height in feet of the taller tree and the shorter tree

Answer 1

Height of tall tree = 4 foot

Height of shorter tree = 1 foot

Explanation:

The taller tree is 1 foot shorter than five times the height of the smaller tree.

Let the height of smaller tree be h in foot.

Height of taller tree = 5h -1

If she's stacked the shortest tree on top of the taller tree they would be a total of 60 inches tall.

That is h + 5h -1 = 5 foots

6h -1 = 5

6h = 6

h = 1 foot

Height of taller tree = 5h -1 = 5 x 1 - 1 = 4 foot

Height of tall tree = 4 foot

Height of shorter tree = 1 foot

Answer 2

this can be solved by generating 2 equations

let

x be the length of the shorter tree

y is the length of the longer tree

the dollar tree is 1 foot shorter than five times the height of the smaller tree. Y – 1 = 5x X + y = 60 Solving the two equation simultaneously X = 9.8 ft Y = 51.2 ft