Question

• 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

Answer 1

Answer: Green route = 5.8 miles

Blue route = 5.4 miles.

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