# The farmer

The farmer brought potatoes to the market. In the first hour he sold two-fifths of the potatoes brought in, in the second hour he sold five-sixths of the remaining potatoes, and in the third hour, he sold the last 40 kg of potatoes.

1. Express a fraction of what portion left after the first hour of sale.
2. Calculate how many kilograms of potatoes the farmer sold in the second hour.
3. Calculate how many kilograms of potatoes the farmer brought to the market.

Correct result:

a =  0.6
b =  200 kg
c =  400 kg

#### Solution:

$a=1 - 2/5=\dfrac{ 3 }{ 5 }=0.6$

2/5c + b + 40 = c
b = 5/6 (c-2/5c)

2/5•c + b + 40 = c
b = 5/6•(c-2/5•c)

5b-3c = -200
30b-15c = 0

b = 200
c = 400

Calculated by our linear equations calculator.

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