1200 screws

1200 screws are to be divided into 3 groups so that in the 1st group there are 300 screws more than in the 2nd group and in the 2nd group 150 screws less than in the 3rd group. How many screws will be in each group?

Correct answer:

a =  550
b =  250
c =  400

Step-by-step explanation:


a+b+c=1200
a = 300+b
b = c-150

a+b+c = 1200
a-b = 300
b-c = -150

Row 2 - Row 1 → Row 2
a+b+c = 1200
-2b-c = -900
b-c = -150

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 1200
-2b-c = -900
-1.5c = -600


c = -600/-1.5 = 400
b = -900+c/-2 = -900+400/-2 = 250
a = 1200-b-c = 1200-250-400 = 550

a = 550
b = 250
c = 400

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