Chocholate pyramid

How many chocolates are on the third shelf if there are 41 chocolates on the 8th shelf and each shelf has seven more chocolates than the previous one?

Final Answer:

x =  6

Step-by-step explanation:


a+7d = 41
d = 7
x = a+2d

a+7·d = 41
d = 7
x = a+2·d

a+7d = 41
d = 7
a+2d-x = 0

Row 3 - Row 1 → Row 3
a+7d = 41
d = 7
-5d-x = -41

Pivot: Row 2 ↔ Row 3
a+7d = 41
-5d-x = -41
d = 7

Row 3 - 1/-5 · Row 2 → Row 3
a+7d = 41
-5d-x = -41
-0.2x = -1.2


x = -1.2/-0.2 = 6
d = -41+x/-5 = -41+6/-5 = 7
a = 41-7d = 41-7 · 7 = -8

a = -8
d = 7
x = 6

Our linear equations calculator calculates it.



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