Problema Solution
Most of the 1,422-mile-long Alaska Highway is actually in Canada. Find the length of the highway that is in Alaska and the length of the highway that is in Canada if it is known that the difference in the lengths is 1,020 miles
Answer provided by our tutors
Let
x = the length of the highway that is in Alaska
y = the length of the highway that is in Canada
Most of the highway is in Canada means: y > x
The difference in the lengths is 1,020 miles means:
y - x = 1020
We also know that the total length of the highway is 1,422:
x + y = 1422
We have the following system of equations:
y - x = 1020
x + y = 1422
........
click here to see the system of equations solved for x and y
........
x = 201 mi
y = 1,221 mi
The length of the highway that is in Alaska is 201 miles.
The length of the highway that is in Canada is 1,221 miles.