3 days

A worker checked 2,950 products over 3 days. On the second day, he checked 25% more than on the first day. On the third day, he checked 15% more than on the second day. How many products did he check each day?

Final Answer:

a =  800
b =  1000
c =  1150

Step-by-step explanation:

$$\begin{gathered} r_1=100\%+25\%=1+\frac{25}{100}=1.25 \\ {r}_2=100\%+15\%=1+\frac{15}{100}=1.15 \\ a+b+c=2950 \\ b=r_1\cdot a \\ c=r_2\cdot b=r_2\cdot r_1\cdot a \\ a+r_1\cdot a+r_2\cdot r_1\cdot a=2950 \\ a+1.25\cdot a+1.15\cdot 1.25\cdot a=2950 \\ 3.6875a=2950 \\ a=\frac{2950}{3.6875}=800 \\ a=800 \end{gathered}$$

$b=r_1\cdot a=1.25\cdot 800=1000$

$c=r_2\cdot b=1.15\cdot 1000=1150$

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