Chapter 3.6, Problem 34PPS

To determine

To calculate: Have to find the length of the remaining part of the necklace.

Answer to Problem 34PPS

The length of reaming part is 14 inch.

Explanation of Solution

Suppose the length of the remaining part is $x$ inch.

Given: Total length of necklace 17 inches.

As per the question $\Rightarrow \frac{3}{4}+1\frac{1}{2}+\frac{3}{4}+x=17$

Calculation:

  $\begin{array}{l}\Rightarrow \frac{3}{4}+1\frac{1}{2}+\frac{3}{4}+x=17\\ \Rightarrow \frac{3}{4}+\frac{2\times 1+1}{2}+\frac{3}{4}+x=17\\ \Rightarrow \frac{3}{4}+\frac{3}{4}+\frac{3}{2}+x=17\\ \Rightarrow \frac{3}{4}+\frac{3}{4}+\frac{3\times 2}{2\times 2}+x=17\end{array}$

  $\begin{array}{l}\Rightarrow \frac{3}{4}+\frac{3}{4}+\frac{6}{4}+x=17\\ \Rightarrow \frac{3+3+6}{4}+x=17\end{array}$

  $\begin{array}{l}\Rightarrow \frac{12}{4}+x=17\\ \Rightarrow x=17-\frac{12}{4}\\ \Rightarrow x=\frac{17\times 4}{4}-\frac{12}{4}\\ \Rightarrow x=\frac{68}{4}-\frac{12}{4}\\ \Rightarrow x=\frac{68-12}{4}\\ \Rightarrow x=\frac{56÷4}{4÷4}\\ \Rightarrow x=14\end{array}$

The length of reaming part is 14 inch.