Points 2836

Three dice throw a total of 12. Green has two times more than red. Blue is two times less than green.
How many points are on each cube?

Correct answer:

c =  3
m =  3
z =  6

Step-by-step explanation:


m+z+c=12
z = 2c
m = z/2

m+z+c=12
z = 2·c
m = z/2

c+m+z = 12
2c-z = 0
2m-z = 0

Pivot: Row 1 ↔ Row 2
2c-z = 0
c+m+z = 12
2m-z = 0

Row 2 - 1/2 · Row 1 → Row 2
2c-z = 0
m+1.5z = 12
2m-z = 0

Pivot: Row 2 ↔ Row 3
2c-z = 0
2m-z = 0
m+1.5z = 12

Row 3 - 1/2 · Row 2 → Row 3
2c-z = 0
2m-z = 0
2z = 12


z = 12/2 = 6
m = 0+z/2 = 0+6/2 = 3
c = 0+z/2 = 0+6/2 = 3

c = 3
m = 3
z = 6

Our linear equations calculator calculates it.



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