Grapes harvesting

The foreman harvested grapes for three days, a total of 2,510 kg. On the second day, they peeled 480 kilograms less than the first day, the third day, and 25% more than the first day. How many kilograms of grapes did the part-timers pick the second day?

Final Answer:

b =  440 kg

Step-by-step explanation:

$$\begin{gathered} r=100\%+25\%=1+\frac{25}{100}=1.25 \\ a+b+c=2510 \\ b=a-480 \\ c=r\cdot a \\ a+(a-480)+r\cdot a=2510 \\ a+(a-480)+1.25\cdot a=2510 \\ 3.25a=2990 \\ a=\frac{2990}{3.25}=920 \\ a=920 \\ b=a-480=920-480=440=440\text{kg} \\ \text{ Verifying Solution: } \\ c=r\cdot a=1.25\cdot 920=1150\text{kg} \\ {s}_2=a+b+c=920+440+1150=2510\text{kg} \end{gathered}$$

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