# One-third 6009

In the forest nursery, children planted new trees for 3 days. They planted a total of 84. On the second day, they planted 75% of what they did on the third day. On the first day, they planted exactly one-third of all planted trees. How many trees did the children plant the next day?

b =  24

## Step-by-step explanation:

a+b+c = 84
b = 75/100 c
a = (a+b+c)/3

a+b+c = 84
b = 75/100·c
a = (a+b+c)/3

a+b+c = 84
100b-75c = 0
2a-b-c = 0

Pivot: Row 1 ↔ Row 3
2a-b-c = 0
100b-75c = 0
a+b+c = 84

Row 3 - 1/2 · Row 1 → Row 3
2a-b-c = 0
100b-75c = 0
1.5b+1.5c = 84

Row 3 - 1.5/100 · Row 2 → Row 3
2a-b-c = 0
100b-75c = 0
2.625c = 84

c = 84/2.625 = 32
b = 0+75c/100 = 0+75 · 32/100 = 24
a = 0+b+c/2 = 0+24+32/2 = 28

a = 28
b = 24
c = 32

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