# Part-timers 29421

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 peel the next day?

b =  440 kg

## Step-by-step explanation:

a+b+c=2510
b = a-480
c = a + 0.25a

a+b+c=2510
b = a-480
c = a + 0.25·a

a+b+c = 2510
a-b = 480
1.25a-c = 0

Pivot: Row 1 ↔ Row 3
1.25a-c = 0
a-b = 480
a+b+c = 2510

Row 2 - 1/1.25 · Row 1 → Row 2
1.25a-c = 0
-b+0.8c = 480
a+b+c = 2510

Row 3 - 1/1.25 · Row 1 → Row 3
1.25a-c = 0
-b+0.8c = 480
b+1.8c = 2510

Row 3 + Row 2 → Row 3
1.25a-c = 0
-b+0.8c = 480
2.6c = 2990

c = 2990/2.6 = 1150
b = 480-0.8c/-1 = 480-0.8 · 1150/-1 = 440
a = 0+c/1.25 = 0+1150/1.25 = 920

a = 920
b = 440
c = 1150

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