Question

Olivia is planning to study for 8 hours. she has to spend studying English twice the time she needs for science and the time she had to spend studying science is one third the the time she needs for math. how can Olivia organize her studying.​

Answer 1

science =
`(4)/(3) \ hours`

English =
`(8)/(3) \ hours`

Math = 4 hours

Explanation:

let the number of hours spend on science = x

Hence the number of hours on English will be = 2x

Given that the number of hours spend on science is one third of the time spend on maths. Hence the time spend on math is 3 times that of the time spend on science. That the time spend on maths is = 3x

Hence the total time to study is

x+2x+3x

which is given as 8 hours

Hence

x+2x+3x =8

6x=8

dividing both sides by 6

`(6x)/(6)=(8)/(6)`

`x=(8)/(6)`

`x=(4)/(3)`

Hence the number of hours foe studying science =
`(4)/(3)`

Number of hours to study English =
`(4)/(3) * 2`=
`(8)/(3)`

Number of hours to study Math=
`(4)/(3) * 3`=
`4`