SOLUTION: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat.
The cost of cultivating corn and wheat is $42 and $30 pre acre respectively.
Mr.Johnson has $18,60
Algebra.Com
Question 183765: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat.
The cost of cultivating corn and wheat is $42 and $30 pre acre respectively.
Mr.Johnson has $18,600 available for cultivating these corp.
If he used all the land and entire budget,how many acres of each crop should he plant?
Found 2 solutions by math_il, josmiceli:
Answer by math_il(6) (Show Source): You can put this solution on YOUR website!
let c = no of acres of corn and w = no of acres of wheat
using the total acres, we get
c +w =500 or w = 500-c (A)
using the cost of cultivation, we get
42c +30w = 18600
substitute the value of w from equation A
42c + 30(500-c) = 18600
42c +15000 -30c =18600
12c = 18600-15000 = 3600
c = 3600/12 = 300 acres
and use this in A , w = 500 -c = 500 -300 = 200 acres
so answer is 300 acres of corn and 200 acres of wheat
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the acres of corn he should plant
Then = acres of wheat he will plant
The cost of cultivating acres of corn is
Yhe cost of cultivating acres of wheat is
------------------
If he uses the whole budget and all the land, his cost is
300 acres should be planted in corn, and
200 acres should be planted in wheat
RELATED QUESTIONS
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost... (answered by addingup)
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost... (answered by ikleyn)
Formulate a system of equations for the situation below and solve.
The Johnson Farm... (answered by richwmiller)
Formulate but do not solve the problem.
The Johnson Farm has 500 acres of land... (answered by josmiceli)
1. formulate but DO NOT solve the problem.
the johnson farm has 600 acres of lad... (answered by lynnlo)
1. formulate but DO NOT solve the problem.
the johnson farm has 600 acres of lad... (answered by mbmodak)
A farmer has 1000 acres of land on which he plans to grow corn, wheat, and soybeans. The (answered by ankor@dixie-net.com)
A farmer has 1,310 acres of land on which he grows corn, wheat, and soybeans. It costs... (answered by ikleyn)
The farm has 450 acres of land to grow corn and wheat the cost to cultivate corn is $42... (answered by josmiceli)