Boxes

Two hundred boxes have been straightened in three rows. The first row was 13 more than in the second, and the second was one-fifth more than in the third. How many boxes are in each row?

Correct answer:

a =  79
b =  66
c =  55

Step-by-step explanation:


200=a+b+c
a= 13+b
b = c/5+c

a+b+c = 200
a-b = 13
5b-6c = 0

Row 2 - Row 1 → Row 2
a+b+c = 200
-2b-c = -187
5b-6c = 0

Pivot: Row 2 ↔ Row 3
a+b+c = 200
5b-6c = 0
-2b-c = -187

Row 3 - -2/5 · Row 2 → Row 3
a+b+c = 200
5b-6c = 0
-3.4c = -187


c = -187/-3.4 = 55
b = 0+6c/5 = 0+6 · 55/5 = 66
a = 200-b-c = 200-66-55 = 79

a = 79
b = 66
c = 55

Our linear equations calculator calculates it.



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