Solving systems of inequalities

Question

A store has two types of animal feed available. Type A contains 5

 pounds of oats and 7

 pounds of corn per bag. Type B contains 6

 pounds of oats and 4

 pounds of corn per bag. A farmer buys both types and combines them so that the resulting mixture has at least 150

 pounds of oats and at least 140

 pounds of corn. The store only has 20

 bags of type A feed and 25

 bags of type B feed in stock. Let x

 be the number of type A bags purchased. Let y

 be the number of type B bags purchased. Shade the region corresponding to all values of x

 and y

 that satisfy these requirements

Answer 1

I showed the digital version in desmos here: https://www.desmos.com/calculator/krsgrmhxni

Your equation for oats should be 5x+6y=150 and your equation for corn should be 7x+4y=140. The region you're interested in is when x <= 20 and y <= 25.