SOLUTION: a farmer plants two kinds of crops on his 3000 acres of land. the income from crop A is $190 per acre. the income from crop B is $300 per acre. the farmers gaol is to earn a sales
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-> SOLUTION: a farmer plants two kinds of crops on his 3000 acres of land. the income from crop A is $190 per acre. the income from crop B is $300 per acre. the farmers gaol is to earn a sales
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Question 122385: a farmer plants two kinds of crops on his 3000 acres of land. the income from crop A is $190 per acre. the income from crop B is $300 per acre. the farmers gaol is to earn a sales of $713,000. Solve the system of equations. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a farmer plants two kinds of crops on his 3000 acres of land. the income from crop A is $190 per acre. the income from crop B is $300 per acre. the farmers gaol is to earn a sales of $713,000. Solve the system of equations.
:
Let a = no. of acres of Crop A
Let b = no. of acres of Crop B
:
a + b = 3000
a = (3000-b) we can use this for substitution
:
190a + 300b = 713000
:
Substitute (3000-b) for a in the above equation:
190(3000-b) + 300b = 713000
:
570000 - 190b + 300b = 713000
:
110b = 713000 - 570000
:
110b = 143000
b =
b = 1300 acres of B crop
:
Find a
3000 - 1300 = 1700 acres of A crop
:
:
Check solution in the $equation
190(1700) + 300(1300) =
323000 + 390000 = 713,000; confirms our solution
