Will give brainliest

a bus travels two different routes: the green route and the blue route. the routes are different lengths.

• on monday the bus traveled the green route 6 times and the blue route 5 times, traveling a total of 52 miles.
• on tuesday the bus traveled the green route 12 times and the blue route 13 times, traveling a total of 119 miles.

what is the length of the green route in miles?
a) 4.4 mi
b) 4.5 mi
c) 6.4 mi
d) 6.8 mi

Set up a system of equations and say green route is x and blue route is y

This will give you
Monday 6x + 5y= 52
Tuesday 12x + 13y = 119

Solve by multiplying the top equation by two to get
12x + 10y= 104

Since you have 12x in both equations, these cancel out when you subtract the bottom from the top. This leaves you with

-3y=-15
Y=5

The blue route is 5 miles, but they want to know the green route. Fill in the y value in either one of your equations. Let’s use the one from Tuesday

12x + 13 (5) = 119
12x= 54
X= 4.5

This means that the answer is B, 4.5 miles