SOLUTION: Technological advances in farming made it possible to increase the crop of potatoes from 1 acre by 4 tons. As a result, from a field of 320 acres 640 tons of potatoes more were col

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Question 1116125: Technological advances in farming made it possible to increase the crop of potatoes from 1 acre by 4 tons. As a result, from a field of 320 acres 640 tons of potatoes more were collected than before from a field of 400 acres. How many tons of potatoes were collected before the new methods and how many after the introduction of the new technology?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = tons of potatoes per acre collected
before new methods
+x+%2B+4+ = tons of potatoes collected after
the new technology
------------------------------------------------
+320%2A%28+x+%2B+4+%29+=+400x+%2B+640+
+320x+%2B+1280+=+400x+%2B+640+
+80x+=+640+
+x+=+8+
and
+x+%2B+4+=+12+
----------------------
Before new methods:
+320%2A8+=+2560+
2,560 tons were collected
---------------------------
After new methods:
+320%2A12+=+3840+
3,840 tons were collected
---------------------------
check:
+320%2A%28+x%2B4+%29+=+400x+%2B+640%0D%0A%7B%7B%7B+320x+%2B+1280+=+400x+%2B+640+
+2560+%2B+1280+=+400%2A8+%2B+640+
+3840+=+3200+%2B+640+
+3840+=+3840+
OK
feel free to get a 2nd opinion