# Produced 3213

Workers produced 12,500 pieces of parts in three days. On the second day, they produced 200 pieces less than on the third day, and on the first day, 350 pieces more than on the 2nd day. How many do they make each day?

a =  4333.3333
b =  3983.3333
c =  4183.3333

### Step-by-step explanation:

a+b+c=12500
b = c-200
a = 350+b

a+b+c = 12500
b-c = -200
a-b = 350

Row 3 - Row 1 → Row 3
a+b+c = 12500
b-c = -200
-2b-c = -12150

Pivot: Row 2 ↔ Row 3
a+b+c = 12500
-2b-c = -12150
b-c = -200

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 12500
-2b-c = -12150
-1.5c = -6275

c = -6275/-1.5 = 4183.33333333
b = -12150+c/-2 = -12150+4183.33333333/-2 = 3983.33333333
a = 12500-b-c = 12500-3983.33333333-4183.33333333 = 4333.33333333

a = 13000/3 ≈ 4333.333333
b = 11950/3 ≈ 3983.333333
c = 12550/3 ≈ 4183.333333

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