SOLUTION: Tracy is trying to find a wrench to fit a bolt. The 3/8-inch wrench is too large, and the 5/16-inch wrench is too small. Which of the following could be the size of the wrench that

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Tracy is trying to find a wrench to fit a bolt. The 3/8-inch wrench is too large, and the 5/16-inch wrench is too small. Which of the following could be the size of the wrench that      Log On

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Question 433971: Tracy is trying to find a wrench to fit a bolt. The 3/8-inch wrench is too large, and the 5/16-inch wrench is too small. Which of the following could be the size of the wrench that will fit the bolt exactly? a)1/4-inch, b) 9/32-inch, c) 11/32-inch, d) 25/64, e) 13/32-inch
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Tracy is trying to find a wrench to fit a bolt. The 3/8-inch wrench is too large, and the 5/16-inch wrench is too small.
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Let x be the proper size:
5/16< x < 3/8
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Changing to various denominators:
-------------------------
5/16< x < 6/16
------------------------
(5/4)/4 < x < (3/2)/4
------------------------
10/32< x < 12/32
--------------------------
20/64< x < 24/64
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Which of the following could be the size of the wrench that will fit the bolt exactly?
a) 1/4-inch::::no
b) 9/32-inch:::no
c) 11/32-inch::yes
d) 25/64-inch::no
e) 13/32-inch::no
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Cheers,
Stan H.