Answer: [tex]2\ \dfrac{7}{12}\ \text{hours}[/tex]
Step-by-step explanation:
Given
Azmyne decided to study a total of [tex]6\ \frac{1}{2}\ hours[/tex]
She spent [tex]1\ \frac{1}{4}\ hours[/tex] on Friday and [tex]2\ \frac{2}{3}\ hours[/tex] on Saturday
Hours spent on Friday
[tex]\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours[/tex]
Hours spent on Saturday
[tex]\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours[/tex]
She must study for
[tex]\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}[/tex]
