Each week Lance drives two routes, route A and route B.

Question

One week he drives route A five times and route B twice.
He drives a total of 181 miles that week.
The week after, he drives route A twice and route B three times.
He drives a total of 112 miles that week.

Find the length of each route.

Answer 1

length of route A ---- a
length of route B --- b

5a + 2b = 181
2a + 3b = 112
I would use elimination:
1st by 3: ----> 15a + 6b = 543
2nd by 2: --> 4a + 6b = 224
subtract those to get a = ...
sub that back into 2a + 3b = 112 to find b

Answer 2

Joe mama

Answer 3

Route A = 29
Route B = 18