Question

while shopping at a 30% off sale, Robin was told that the sale price would saver her $6 on her purchase. Since the original price tag was missing, she had to calculate the price. what was the original price.

Answer 1

To do this, let x be the original price. Since the sale price would save you $ 6 on your purchase and this equates to 30% off, then using the rule of three you can find the original price, like this

`\begin{gathered} \text{ \$6}\Rightarrow30\text{ \%} \\ x\Rightarrow100\text{ \%} \\ x=\frac{100\text{ \%}\cdot\text{ \$6}}{30\text{ \%}} \\ x=\text{ \$}(600)/(30) \\ x=\text{ \$20} \end{gathered}`

Therefore, the original price was $20.

Verifying you have

`\text{ \$20}\ast30\text{ \%= \$20}\cdot(30)/(100)=\text{ \$20}\cdot0.3=\text{ \$6}`

Which was the $6 that Robin saved on his purchase.