SOLUTION: The Marsh family took a vacation that was a total of 1356 miles. The return trip was 284 miles shorter than the first part of the trip. How long was the return trip?

Algebra ->  Human-and-algebraic-language -> SOLUTION: The Marsh family took a vacation that was a total of 1356 miles. The return trip was 284 miles shorter than the first part of the trip. How long was the return trip?      Log On


   



Question 804040: The Marsh family took a vacation that was a total of 1356 miles. The return trip was 284 miles shorter than the first part of the trip. How long was the return trip?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the 1st part of the trip
Let +b+ = the 2nd part of the trip
--------------
+a+%2B+b+=+1356+
+b+=+a+-+284+
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By substitution:
+a+%2B+a+-+284+=+1356+
+2a+=+1356+%2B+284+
+2a+=+1640+
+a+=+820+
and, since
+b+=+a+-+284+
+b+=+820+-+284+
+b+=+536+
The return trip was 536 miles
check:
+a+%2B+b+=+1356+
+820+%2B+536++=+1356+
+1356+=+1356+
OK