Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?

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]

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