Collected 61474

Three students collected a total of 32 kg of paper. The second student collected three times more paper than the first student, and the third student collected 2 kg more than the first student. How many kilograms of paper did each of them collect?

Correct answer:

a =  6
b =  18
c =  8

Step-by-step explanation:


a+b+c=32
b=3·a
c = 2+a

a+b+c = 32
3a-b = 0
a-c = -2

Pivot: Row 1 ↔ Row 2
3a-b = 0
a+b+c = 32
a-c = -2

Row 2 - 1/3 · Row 1 → Row 2
3a-b = 0
1.333b+c = 32
a-c = -2

Row 3 - 1/3 · Row 1 → Row 3
3a-b = 0
1.333b+c = 32
0.333b-c = -2

Row 3 - 0.33333333/1.33333333 · Row 2 → Row 3
3a-b = 0
1.333b+c = 32
-1.25c = -10


c = -10/-1.25 = 8
b = 32-c/1.33333333 = 32-8/1.33333333 = 18
a = 0+b/3 = 0+18/3 = 6

a = 6
b = 18
c = 8

Our linear equations calculator calculates it.

Try another example


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







Tips for related online calculators
Do you have a system of equations and are looking for calculator system of linear equations?

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

Units of physical quantities:

Grade of the word problem:

Related math problems and questions: