Three-hectolitre 3136

Workers rolled the oil into 115 two-liter and three-liter cans from a full three-hectolitre barrel. How many cans were there?

Correct answer:

x =  45
y =  70

Step-by-step explanation:


x+y = 115
2x+3y = 300

x+y = 115
2·x+3·y = 300

x+y = 115
2x+3y = 300

Pivot: Row 1 ↔ Row 2
2x+3y = 300
x+y = 115

Row 2 - 1/2 · Row 1 → Row 2
2x+3y = 300
-0.5y = -35


y = -35/-0.5 = 70
x = 300-3y/2 = 300-3 · 70/2 = 45

x = 45
y = 70

Our linear equations calculator calculates it.



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