Inspected 2607

The worker checked 4,950 products in three days. He inspected 25% more products on the second day than on the first day. He inspected 16% fewer products on the third day than on the second day. How many products did he check on each day?

a =  1500
b =  1875
c =  1575

Step-by-step explanation:

a+b+c=4950
b = (1+25/100)a
c = (1-16/100)b

a+b+c=4950
b = (1+25/100)·a
c = (1-16/100)·b

a+b+c = 4950
125a-100b = 0
84b-100c = 0

Pivot: Row 1 ↔ Row 2
125a-100b = 0
a+b+c = 4950
84b-100c = 0

Row 2 - 1/125 · Row 1 → Row 2
125a-100b = 0
1.8b+c = 4950
84b-100c = 0

Pivot: Row 2 ↔ Row 3
125a-100b = 0
84b-100c = 0
1.8b+c = 4950

Row 3 - 1.8/84 · Row 2 → Row 3
125a-100b = 0
84b-100c = 0
3.143c = 4950

c = 4950/3.14285714 = 1575
b = 0+100c/84 = 0+100 · 1575/84 = 1875
a = 0+100b/125 = 0+100 · 1875/125 = 1500

a = 1500
b = 1875
c = 1575

Our linear equations calculator calculates it.

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