SOLUTION: A farmer has 100 acres of land for wheat or veg. Each acre of wheat yields €400 and each acre of veg yields €500. He makes €42,000 . How many acres of crops did he sow ?

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Question 1050126: A farmer has 100 acres of land for wheat or veg. Each acre of wheat yields €400 and each acre of veg yields €500. He makes €42,000 . How many acres of crops did he sow ?
Found 2 solutions by ikleyn, advanced_Learner:
Answer by ikleyn(52884)   (Show Source): You can put this solution on YOUR website!
.
A farmer has 100 acres of land for wheat or veg. Each acre of wheat yields €400 and each acre of veg yields €500. He makes €42,000 . How many acres of crops did he sow ?
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400x + 500*(400-x) = 42000.


One equation for one unknown. Simplify and solve for x, area for wheat in acres.


Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!


Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=20. Since , x=80.

Answer: .


respectively

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