SOLUTION: Robert builds a wall made from bricks. Each layer has exactly three more bricks than the layer immediately above it. If the wall has five layers, how many bricks will the top layer

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Question 297630: Robert builds a wall made from bricks. Each layer has exactly three more bricks than the layer immediately above it. If the wall has five layers, how many bricks will the top layer have if the total number of bricks in the wall is 80?
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
5x +0*3+1*3+2*3+3*3+4*3=80
5x+30=80
5x=50
x=10 top layer
22 first layer
check
10+13+16+19+22
ok

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Robert builds a wall made from bricks. Each layer has exactly three more bricks than the layer immediately above it. If the wall has five layers, how many bricks will the top layer have if the total number of bricks in the wall is 80?
--
1st layer: x
2nd layer: x+3
3rd layer: x+6
4th layer: x+9
5th layer: x+12
------------------------
Equation:
sum = 80
5x+30 = 80
5x = 50
x = 10 (# in top layer)
============================
Cheers,
Stan H.