Respuesta :
The length of green route is 4.5 miles
Solution:
Let the length of green route be "x" miles
Let the length of blue route be "y" miles
On monday the bus traveled the green route 6 times and the blue route 5 times traveling a total of 52 miles
Therefore, we can frame a equation as:
[tex]x \times 6 + y \times 5 = 52[/tex]
6x + 5y = 52 ------- eqn 1
On Tuesday the bus traveled the green route 12 times and the blue route 13 times traveling a total of 119 miles
Therefore, we can frame a equation as:
[tex]x \times 12 + y \times 13 = 119[/tex]
12x + 13y = 119 -------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 1 by 2
12x + 10y = 104 -------- eqn 3
Subtract eqn 2 from eqn 3
12x + 10y = 104
12x + 13y = 119
( - ) --------------------
-3y = -15
3y = 15
y = 5
Substitute y = 5 in eqn 1
6x + 5(5) = 52
6x + 25 = 52
6x = 52 - 25
6x = 27
[tex]x = \frac{27}{6}[/tex]
x = 4.5
Thus length of green route is 4.5 miles
