# algebra

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a landscaper uses square tiles to make garden paths the ends of the paths are always 2 tiles wide, and the center portions of the paths are 3 tiles wide. what equation gives the total number y of tiles needed to make a path with a length of x tiles. the landscaper has 100 tiles. what is the length of the longest path that the landscaper can make

• algebra -

x = total length
x-2 = center part
2 = end parts

y = 2*2 + 3(x-2)
y = 4 + 3x - 6
y = 3x - 2

If you have 100 tiles,

100 = 3x-2
102 = 3x
x = 34

So, a path of length 34 uses 4+96 = 100 tiles

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