Workers 4

Workers in a workshop machined the same parts for three months. Their output increased so that each subsequent month they machined 10 percent more parts than the previous month. In the last month, they machined 484 parts. How many parts did they machine in the first month?
How many parts did they machine in total?

Correct answer:

a =  400
s =  1324

Step-by-step explanation:

$$\begin{gathered} r=100\%+10\%=1+\frac{10}{100}=1.1 \\ b=r\cdot a \\ c=r\cdot b \\ c=484 \\ b=c/r=484/1.1=440 \\ a=b/r=440/1.1=400 \end{gathered}$$

$s=a+b+c=400+440+484=1324$

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