Question

A bricklayer is building a large base for a sign. She uses 6 blocks for the top layer and each layer requires 8 more blocks than the layer above it. The bottom layer has 102 bricks. How many layers are there in the sign base?

Describe an equation-based method to answer the bricklayer question.



Describe a pictorial- or manipulative-based method to answer the bricklayer question.

Answer 1

102 = 6 + (n-1)8
102 = 6 + 8n -8
102 -6+8 = 8n
8n = 104. /8
n = 13