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allsm [11]
3 years ago
10

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

g seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $19,800 available for cultivating these crops. If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant? (Let x and y denote the number of acres of corn and wheat, respectively.)
Business
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

The answer is: Jacob Johnson should cultivate 400 acres of corn and 100 acres of wheat.

Explanation:

                  x = corn acre   ;     y = wheat acre

<u>Step 1:</u>

x   +   y    =   500

42x + 30y = 19,800

<u>Step 2:</u>

Multiply (x + y = 500) times -30 ;      -30x - 30y = -15,000

<u>Step 3:</u>

42x + 30y = 19,800

-30x - 30y = -15,000

<u>Step 4:</u>

(42x - 30x) + (30y - 30y) = 19,800 - 15,000   ;     12x = 4,800

<u>Step 5:</u>

x = 4,800/12   ;    x = 400

<u>Step 6:</u>

400 + y = 500     ;      y = 100        

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