# Potatoes bags

I have three bags with 21 kg potatoes. The first bag is 5.5 kg more than in the second bag, and the third is 0.5 kg more than in the second bag. Determine how many kgs of potatoes are in each bag.

a =  10.5
b =  5
c =  5.5

### Step-by-step explanation:

a+b+c=21
a = b+5.5
c = 0.5 +b

a+b+c = 21
a-b = 5.5
b-c = -0.5

Row 2 - Row 1 → Row 2
a+b+c = 21
-2b-c = -15.5
b-c = -0.5

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 21
-2b-c = -15.5
-1.5c = -8.25

c = -8.25/-1.5 = 5.5
b = -15.5+c/-2 = -15.5+5.5/-2 = 5
a = 21-b-c = 21-5-5.5 = 10.5

a = 21/2 = 10.5
b = 5
c = 11/2 = 5.5

Our linear equations calculator calculates it. Did you find an error or inaccuracy? Feel free to write us. Thank you!

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