Question 1152676
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You have the correct answer. It is equivalent to <font color=red>71 & 1/4 feet</font> (see <font color=LimeGreen>Note 2</font> below). Nice work.


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Here is another way to get the answer.


The info that the square rods are "5/16 in. on each side" is never used. 
We only use the information that they weigh <font color=blue>1/3 lb. per linear foot</font> and that the total weight is <font color=blue>23 & 3/4 pounds</font>.


23 & 3/4 pounds = 23.75 pounds


1/3 lb. per linear foot
1/3 lb : 1 foot
1 lb : 3 feet ......... multiply both parts of the ratio by 3 (see <font color=LimeGreen>Note 1</font> below)
23.75*1 lb : 23.75*3 feet ......... multiply both parts by 23.75
23.75 lb : 71.25 feet


71.25 feet = 71 & 1/4 feet


71.25 feet of rods weigh 23.75 pounds
<font color=red>71 & 1/4 feet</font> of rods weigh 23 & 3/4 pounds (see <font color=LimeGreen>Note 2</font> below)



Footnotes:<ul><li><font color=LimeGreen>Note 1</font>: multiplying both sides of an equation by 3 is the same as dividing both sides by 1/3 = 0.33333333... (the dots indicating the '3's go on forever) Example: 1/5 divided by 1/3 = 1/5 times 3/1 = 1/5 times 3. So this is why we are getting the same answer despite taking slightly different paths.</li><li><font color=LimeGreen>Note 2</font>: Your teacher did not state how the final answer format should be; however, I'm assuming that the teacher wants a mixed number since none of the given values are in decimal format. Though of course it's best to ask the teacher directly to clear up any confusion.</li></ul>
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