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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Corn and Wheat Planting Area

Medium Heart Of Algebra Linear Equations And Inequalities

A farmer is analyzing the growth of his two types of crops: corn and wheat. He knows that the total area of his farm is 200 acres. He has decided to plant corn in x acres and wheat in y acres. The equation representing the total area is:

$$x + y = 200$$

Additionally, the farmer has a constraint that he wants to plant twice as many acres of corn as wheat. This relationship is expressed by the equation:

$$x = 2y$$

To find out how many acres of corn he will plant, solve the system of equations for x. Write your answer as a fraction or a decimal and enter it in the grid below.

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