Three-liter 6204

We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have?

Correct answer:

a =  25
b =  20

Step-by-step explanation:


a+b=45
3a+5b= 7·25

a+b=45
3·a+5·b= 7·25

a+b = 45
3a+5b = 175

Pivot: Row 1 ↔ Row 2
3a+5b = 175
a+b = 45

Row 2 - 1/3 · Row 1 → Row 2
3a+5b = 175
-0.67b = -13.33


b = -13.33333333/-0.66666667 = 20
a = 175-5b/3 = 175-5 · 20/3 = 25

a = 25
b = 20

Our linear equations calculator calculates it.



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