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 = [tex]\frac{6}{6}[/tex]
x=1
Substituting in (1)
y = 5(1)-1
y = 5-1
y =4
