SOLUTION:
Step 1:
In this question, we are given the following:
Caleb cut a rope into 4 pieces.
The lengths of the pieces of rope are 5 2/8 inches, 7 7/8 inches, 4 1/8 inches, and 3 3/8 inches.
Which choice is the closest estimate of the length of the original rope?
A. 1 foot 7 inches B 1 foot 9 inches C. 1 foot 11 inches D. 2 feet 2 inches
Step 2:
The details of the solution are as follows:
We need to add up the individual pieces of rope:
[tex]\begin{gathered} 5\frac{2}{8}\text{ inches + 7}\frac{7}{8}\text{ inches + 4}\frac{1}{8}\text{ inches + 3}\frac{3}{8}\text{ inches = 20}\frac{5}{8}\text{ inches} \\ \end{gathered}[/tex]Next:
Converting
[tex]20\frac{5}{8}\text{ inches to feet, we have that:}[/tex][tex]\begin{gathered} 1\text{ inch = 0.0833333 foot} \\ 20\frac{5}{8}\text{ inches = 20}\frac{5}{8}\text{ x 0.0833333 = 1.718749313 foot \lparen1 feet 9 inches \rparen} \\ \approx\text{ 1 foot 9 inches \lparen OPTION B \rparen} \end{gathered}[/tex]CONCLUSION:
The final answer is:
1 foot 7 inches ( OPTION B )
