Question

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 1

Answer:
`2\ (7)/(12)\ \text{hours}`

Explanation:

Given

Azmyne decided to study a total of
`6\ (1)/(2)\ hours`

She spent
`1\ (1)/(4)\ hours` on Friday and
`2\ (2)/(3)\ hours` on Saturday

Hours spent on Friday

`\Rightarrow 1\ (1)/(4)=(5)/(4)\ hours`

Hours spent on Saturday

`\Rightarrow 2\ (2)/(3)=(8)/(3)\ hours`

She must study for

`\Rightarrow (13)/(2)-(5)/(4)-(8)/(3)\\\\\Rightarrow (13*6-5*3-8*4)/(12)=(78-15-32)/(12)\\\\\Rightarrow (31)/(12)=2\ (7)/(12)\ \text{hours}`