Question

Monique has 2 artificial Christmas trees in her apartment. The taller tree is 1 foot shorter than 5 times the height of the smaller tree. If she stacked the shorter tree on top of the taller tree, they would be a sum of 60 inches tall ( feet). Find the height in feet of the taller tree (x) and the shorter tree (y)

Answer 1

Answer:

The height  taller tree  is 4 foot  

The height  small tree is 1 foot

Step-by-step explanation:

Given:

2 artificial Christmas trees

The taller tree is 1 foot shorter than 5 times the height of the smaller tree

To Find:

Find the height in feet of the taller tree (x) and the shorter tree (y)

Solution:

The sum of height of two artificial Christmas trees  = 60 inches

Converting inches into feet,

we know that

1 inch  =  0.083foot

then

60  inches =  0.083 X  60

60  inches = 5 foot

Now

Taller tree is 1 foot shorter than 5 times the height of the smaller tree

y = 5x-1---------------------------------(1)

Sum of  two artificial Christmas trees  = 5 foot

x+ y = 5

x+ (5x-1) = 5

x+ 5x-1 = 5

6x -1 = 5

6x = 5 +  1

6x =6

x = $\frac{6}{6}$

x=1

Substituting in (1)

y = 5(1)-1

y = 5-1

y =4