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The boys from the science club collected 150 kg of chestnuts in three days for the winter feeding of forest animals. On Monday, they collected 10 kg more than on Tuesday. On Wednesday, after school, they picked two-thirds of the weight of chestnuts they picked on Monday. Thus, they collected 150 kg of chestnuts each day.

Correct answer:

a =  60
b =  50
c =  40

Step-by-step explanation:


a+b+c=150
a = 10+b
c = 2/3·a

a+b+c = 150
a-b = 10
2a-3c = 0

Pivot: Row 1 ↔ Row 3
2a-3c = 0
a-b = 10
a+b+c = 150

Row 2 - 1/2 · Row 1 → Row 2
2a-3c = 0
-b+1.5c = 10
a+b+c = 150

Row 3 - 1/2 · Row 1 → Row 3
2a-3c = 0
-b+1.5c = 10
b+2.5c = 150

Row 3 + Row 2 → Row 3
2a-3c = 0
-b+1.5c = 10
4c = 160


c = 160/4 = 40
b = 10-1.5c/-1 = 10-1.5 · 40/-1 = 50
a = 0+3c/2 = 0+3 · 40/2 = 60

a = 60
b = 50
c = 40

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