WILL GIVE BRAINLIESTA 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
Accepted Solution
A:
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