Exhibition 18783

During 3 days, 2870 people went to the exhibition. On the second day, 140 more people came to the exhibition than on the first day. On the 3rd day, there were 1.5 times more people at the exhibition than on the second day. How many people visited the exhibition each day?

Correct answer:

a =  720
b =  860
c =  1290

Step-by-step explanation:


a+b+c=2870
b = 140+a
c = 1.5b

a+b+c=2870
b = 140+a
c = 1.5·b

a+b+c = 2870
a-b = -140
1.5b-c = 0

Row 2 - Row 1 → Row 2
a+b+c = 2870
-2b-c = -3010
1.5b-c = 0

Row 3 - 1.5/-2 · Row 2 → Row 3
a+b+c = 2870
-2b-c = -3010
-1.75c = -2257.5


c = -2257.5/-1.75 = 1290
b = -3010+c/-2 = -3010+1290/-2 = 860
a = 2870-b-c = 2870-860-1290 = 720

a = 720
b = 860
c = 1290

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