Potatoes 4043

The 102-hectare field is to be sown with flax and planted with potatoes. The area sown with flax should be three times smaller than the exchange planted with potatoes. Which acreage should be planted with flax, and which should be planted with potatoes?

Correct answer:

a =  25.5
b =  76.5

Step-by-step explanation:


a+b=102
a = b/3

a+b = 102
3a-b = 0

Pivot: Row 1 ↔ Row 2
3a-b = 0
a+b = 102

Row 2 - 1/3 · Row 1 → Row 2
3a-b = 0
1.33b = 102


b = 102/1.33333333 = 76.5
a = 0+b/3 = 0+76.5/3 = 25.5

a = 51/2 = 25.5
b = 153/2 = 76.5

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