Answer:
Potatoes cost 80p / kg and carrots 50p/kg.
Step-by-step explanation:
3p + 4c = 440
4p + 3c = 470 (where p = cost 1kg of potatoes and c is same of carrots).
Multiply the first equation by -3 and the second by 4:
-9p - 12c = -1320
16p + 12c = 1880
Adding the 2 equations:-
7p = 560
p = 80.
Substituting for p in first equation:
3(80) + 4c = 440
4c = 440 - 240 = 200
c = 50.
