Chocholate pyramid

How many chocolates are on the third shelf when on the 8th shelf are 41 chocolates on any other shelf? Are seven chocolates more than the previous shelf?

Correct 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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