# math

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?

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1. 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 ?

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2. 👎
👤
Reiny
2. {5a+40a≤100
50c+4c≤1000?

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2. 👎
3. {5a+4c≤100
40a+50c≤1000
i think that right one.

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2. 👎
4. thanks ASL!

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2. 👎
5. np.

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2. 👎

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