Kilograms 5998

What is the weight of an empty water tank, and how many kilograms of water is in it? If the total weight
a) 192 kg, would it drop to 132 kg after a third of the water weight is drained?
b) 107 kg would increase to 132 kg after adding a quarter of the current water weight?

Correct answer:

a =  12
b =  180
c =  7
d =  100

Step-by-step explanation:


a+b = 192
a+b - b/3 = 132

a+b = 192
3a+2b = 396

Pivot: Row 1 ↔ Row 2
3a+2b = 396
a+b = 192

Row 2 - 1/3 · Row 1 → Row 2
3a+2b = 396
0.33b = 60


b = 60/0.33333333 = 180
a = 396-2b/3 = 396-2 · 180/3 = 12

a = 12
b = 180

Our linear equations calculator calculates it.

c+d = 107
c+d + d/4 = 132

c+d = 107
4c+5d = 528

Pivot: Row 1 ↔ Row 2
4c+5d = 528
c+d = 107

Row 2 - 1/4 · Row 1 → Row 2
4c+5d = 528
-0.25d = -25


d = -25/-0.25 = 100
c = 528-5d/4 = 528-5 · 100/4 = 7

c = 7
d = 100

Our linear equations calculator calculates it.



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