Chapter 6.5, Problem 42HP

To determine

To find: Her error and correct it.

Answer to Problem 42HP

Quinn need to write $0.97$ instead of $1.03$ and we need to divide $76.24$ with $0.97$

  $\begin{array}{l}\Rightarrow 76.24=0.97r\\ \Rightarrow r=\frac{76.24}{0.97}\\ \Rightarrow r=78.6\end{array}$

It means Quinn need to Subtract Discount amount from Regular price instead of adding.

Regular price $r=\$78.6$

Explanation of Solution

Given information:

Discounted price for a skirt $=\$76.24$

Discount $=3\%$ on Regular price.

We know

Discounted price $=$ Regular price $-$ Discount amount

Given

Discounted price for a skirt $=\$76.24$

Discount $=3\%$ on Regular price.

Let us assume Regular price be $\text{'}r\text{'}$

Therefore,

Discounted price $=$ Regular price $-$

  $3\%$ on Regular price

  $\begin{array}{l}\Rightarrow 76.24=r-\left(\frac{3}{100}\right)r\\ \Rightarrow 76.24=r-0.03r\\ \Rightarrow 76.24=0.97r\\ \Rightarrow r=\frac{76.24}{0.97}\\ \Rightarrow r=78.6\end{array}$

Therefore,

Regular price $r=\$78.6$

Therefore

On Comparing Quinn solution with above solution

We can say that

Quinn need to write $0.97$ instead of $1.03$ and we need to divide $76.24$ with $0.97$

  $\begin{array}{l}\Rightarrow 76.24=0.97r\\ \Rightarrow r=\frac{76.24}{0.97}\\ \Rightarrow r=78.6\end{array}$

It means Quinn need to Subtract Discount amount from Regular price instead of adding.