Anton wants to plant a small orchard of apple trees and cherry trees in his back yard. He has a budget of $1,000 and his plot has a maximum of 100 square feet. The apple trees he wants cost $40 each and require 5 square feet. The cherry trees he wants cost $50 each and require 4 square feet.

Which system of inequalities correctly represents this situation where a is the number of apple trees and c is the number of cherry trees that Anton can plant in his orchard?

{5a+4c≤100
40a+50c≤1000

{5a+4c≤1000
40a+50c≤100

{4a+5c≤100***
50a+40c≤1000

{5a+40a≤100
50c+4c≤1000

Do you think that's right?

5 answers

Apple trees need 5 square feet and Cherry trees need 4 square feet and you have 100 square feet in total:
---> 5A + 4C ≤ 100 , the first and last have that (your choice is out)

Apple trees cost $40 each, and Cherry trees cost $50 each and you have $1000 in total to spend:
50A + 40C ≤ 1000

Which answer fits both conditions ?

{5a+40a≤100
50c+4c≤1000?

{5a+4c≤100
40a+50c≤1000
i think that right one.

thanks ASL!

np.