• On Monday the school bus traveled the Green Route 8 times and the Blue Route 9 times, traveling a total of 95 miles. • On Tuesday the school bus traveled the Green Route 12 times and the Blue Route 6 times, traveling a total of 102 miles

Green route = 5.8 miles

Blue route = 5.4 miles.

Step-by-step explanation:

Let the miles travelled for Green route be x

Let the miles travelled for Blue route be y

We can form an equation from the question given which will be:

8x + 9y = 95 i

12x + 6y = 102 ii

Multiply equation i by 12

Multiply equation ii by 8

96x + 108y = 1140 iii

96x + 48y = 816 iv

Subtract iv from iii

60y = 324

y = 324/60 = 5.4

Blue route is 5.4 miles.

Since 8x + 9y = 95

= 8x + 9(5.4) = 95

8x + 48.6 = 95

8x = 95 - 48.6

8x = 46.4

x = 46.4/8 = 5.8

Green route = 5.8 miles

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

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step-by-step explanation: