marshh333
Answered

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3 kg of potatoes and 4 kg of carrots have a total cost of 440p.
4 kg of potatoes and 3 kg of carrots have a total cost of 470p.
Work out the total cost of 1 kg of potatoes and 1 kg of carrots.

Sagot :

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.

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