Product inspection

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?

Final Answer:

a =  1500
b =  1875
c =  1575

Step-by-step explanation:

$$\begin{gathered} r_1=100\%+25\%=1+\frac{25}{100}=1.25 \\ {r}_2=100\%-16\%=1-\frac{16}{100}=0.84 \\ a+b+c=4950 \\ b=r_1\cdot a \\ c=r_2\cdot b=r_2\cdot r_1\cdot a \\ a+r_1\cdot a+r_2\cdot r_1\cdot a=4950 \\ a+1.25\cdot a+0.84\cdot 1.25\cdot a=4950 \\ 3.3a=4950 \\ a=\frac{4950}{3.3}=1500 \\ a=1500 \end{gathered}$$

$b=r_1\cdot a=1.25\cdot 1500=1875$

$c=r_2\cdot b=0.84\cdot 1875=1575$

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