Anton wants to plant a small apple and cherry orchard in his backyard. He has a budget of $1,000 and his lot 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 Anton can plant in his orchard?
{5y+4c≤100
40a+50c≤1000
{5y+4c≤1000
40a+50c≤100
{4y+5c≤100***
50a+40c≤1000
{5y+40y≤100
50c+4c≤1000
Do you think that’s true? 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 the last have that (your choice is over)
Apple trees are $40 each and cherry trees are $50 each and you have $1,000 in total to spend:
50A+40C≤1000
Which answer matches both conditions? {5y+4c≤100
40a+50c≤1000
I think it’s the right one. {5y+40y≤100
50c+4c≤1000? thank you ASL! no.