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?

Correct answer:

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.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: