Three piles

We divide 100 kg of sugar into three piles. The first pile is small. If we add 2 kg of sugar to the second, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the second pile. How many kilograms of sugar are in each pile?

Correct answer:

a =  28.64
b =  33.8
c =  37.56

Step-by-step explanation:


a+b+c=100
b+2 = 1.25 a
c+3 = 1.20 b

a+b+c=100
b+2 = 1.25·a
c+3 = 1.20·b

a+b+c = 100
1.25a-b = 2
1.2b-c = 3

Pivot: Row 1 ↔ Row 2
1.25a-b = 2
a+b+c = 100
1.2b-c = 3

Row 2 - 1/1.25 · Row 1 → Row 2
1.25a-b = 2
1.8b+c = 98.4
1.2b-c = 3

Row 3 - 1.2/1.8 · Row 2 → Row 3
1.25a-b = 2
1.8b+c = 98.4
-1.667c = -62.6


c = -62.6/-1.66666667 = 37.56
b = 98.4-c/1.8 = 98.4-37.56/1.8 = 33.8
a = 2+b/1.25 = 2+33.8/1.25 = 28.64

a = 716/25 = 28.64
b = 169/5 = 33.8
c = 939/25 = 37.56

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly and easily solve a variety of common percentage-related problems.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: