Question

one week a student exercise 3 hours at school and another 2/3 of an hour at home. If 1/4 of the student's total exercise came from playing soccer,how munch time did the students spend playing soccer that week? Enter your answer in hours ; do not include units in your answer.Enter your answer as a fraction in simplest terms using the / as the fraction bar

Answer 1

it is given that,

student exercise 3 hours at school,.

and 2/3 hours at home,

let he do exercise for total 'x' hours,

also,

1/4 of the student's total exercise came from playing soccer

so, exercise came from soccer is , x/4

now sum the hours,

3 + 2/3 + x/4 = x

11/3 = x - x/4

3x/4 = 11/3

`x=(11*4)/(3*3)`

x = 44/9 hours,

so, the time spend on soccer is,

x/4 =

`\begin{gathered} ((44)/(9))/(4) \\ =(44)/(36) \end{gathered}`
`=(11)/(9)`

thus, the answer is

time spend on soccer is, 11/9