Respuesta :
The percent of oil remains is [tex]\frac{n-m}{n} \times 100 \%[/tex]
The percent used was [tex]\frac{m}{n} \times 100 \%[/tex]
Solution:
Given that, there are n gallons of oil.
After m gallons have been used then, in terms of m and n
To find what percent was used:
[tex]\text { percent of oil used }=\frac{u s e d \text { oil }}{\text { initial oil }} \times 100 \%[/tex]
[tex]\begin{array}{l}{\text { Percent of oil used }=\frac{m \text { gallons of oil }}{\text { n gallons of oil }} \times 100} \\\\ {\rightarrow \text { per cent of oil used }=\frac{m}{n} \times 100 \%}\end{array}[/tex]
To find what percent of oil remains:
[tex]\begin{array}{l}{\text { Now, percent of oil remaining }=100 \% \text { - percent of oil used }} \\\\ {\rightarrow \text { percent of oil remaining }=100 \%-\frac{m}{n} \times 100 \%} \\\\ {\rightarrow \text { percent of oil remaining }=100 \%\left(1-\frac{m}{n}\right)} \\\\ {\rightarrow \text { percent of oil remaining }=100 \% \times \frac{n-m}{n}} \\\\ {\text { So, percent of oil remaining is } \frac{n-m}{n} \times 100 \%}\end{array}[/tex]
