SOLUTION: A farmer grows only pumpkins and corn on her 420 ace farm.this year she wants to plant 250 more acres of corn than pumpkins. How many acres of each crop should the farmer plant

Algebra ->  Test -> SOLUTION: A farmer grows only pumpkins and corn on her 420 ace farm.this year she wants to plant 250 more acres of corn than pumpkins. How many acres of each crop should the farmer plant      Log On


   

Question 736256: A farmer grows only pumpkins and corn on her 420 ace farm.this year she wants to plant 250 more acres of corn than pumpkins. How many acres of each crop should the farmer plant
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = acres planted in pumpkins
Let +c+ = acres planted in corn
given:
+p+%2B+c+=+420+
The +420+ acres never changes.
but now +c+=+p+%2B+250+
By substitution,
+p+%2B+p+%2B+250+=+420+
+2p+=+170+
+p+=+85+
and
+c+=+p+%2B+250+
+c+=+85+%2B+250+
+c+=+335+
-------------
She must plant 85 acres of pumpkins
and 335 acres of corn
check:
+p+%2B+c+=+420+
+85+%2B+335+=+420+
+420+=+420+
OK
+c+-+p+=+250+
+335+-+85+=+250+
+250+=+250+
OK