# Kilograms 11481

The three melons weigh a total of 18 1/2 kg. The first weighs 1 1/4 kg more than the second and 2 3/4 kilograms more than the third. How much do melons weigh in kilograms?

a =  7.9167
b =  6.6667
c =  3.9167

### Step-by-step explanation:

a+b+c= 18 + 1/2
a = 1+1/4 + b
b = 2+3/4 + c

2a+2b+2c = 37
4a-4b = 5
4b-4c = 11

Pivot: Row 1 ↔ Row 2
4a-4b = 5
2a+2b+2c = 37
4b-4c = 11

Row 2 - 2/4 · Row 1 → Row 2
4a-4b = 5
4b+2c = 34.5
4b-4c = 11

Row 3 - Row 2 → Row 3
4a-4b = 5
4b+2c = 34.5
-6c = -23.5

c = -23.5/-6 = 3.91666667
b = 34.5-2c/4 = 34.5-2 · 3.91666667/4 = 6.66666667
a = 5+4b/4 = 5+4 · 6.66666667/4 = 7.91666667

a = 95/12 ≈ 7.916667
b = 20/3 ≈ 6.666667
c = 47/12 ≈ 3.916667

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