SOLUTION: My classmate and I argued over the set up Can you tell me if this is the correct set up 26 = 2(2.5 + w) + 4w A book case is to have four shelves including the top. The height of

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Question 33544: My classmate and I argued over the set up Can you tell me if this is the correct set up 26 = 2(2.5 + w) + 4w
A book case is to have four shelves including the top. The height of the book case is to be 2.5 feet more than the width. find the width and height of the book case if only 26 feet of lumber is available

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
4 shelves and 2 sides
shelf 1 = x
shelf 2 = x
shelf 3 = x
shelf 4 = x
side 1 = x + 2.5
side 2 = x + 2.5
total lumber = 26
X or W ... either variable works

+x+%2B+x+%2B+x+%2B+x+%2B+%28x+%2B+2.5%29+%2B+%28x+%2B+2.5%29+=+26+
+4x+%2B+2%28x%2B2.5%29+=+26+
YES .. you set it up right.

SOLVE:
+4x+%2B+2%28x%2B2.5%29+=+26+
+4x+%2B+2x+%2B+5+=+26+
+6x+%2B+5+=+26+
+6x+=+21+
+x+=+21%2F6+

CHECK:
+4x+%2B+2%28x%2B2.5%29+=+26+
+4%2821%2F6%29+%2B+2%28%2821%2F6%29%2B2.5%29+=+26+
change the 2.5 to 5/2
+4%2821%2F6%29+%2B+2%28%2821%2F6%29%2B%285%2F2%29%29+=+26+
Find common denominators
+4%2821%2F6%29+%2B+2%28%2821%2F6%29%2B%2815%2F6%29%29+=+26+
Add the fractions
+4%2821%2F6%29+%2B+2%2836%2F6%29+=+26+
Multiply
+%2884%2F6%29+%2B+%2872%2F6%29+=+26+
Add
+156%2F6+=+26+
+26+=+26+
YES!!!