Question

Mr. Yoshi has 75 papers. He graded 60 papers, and he had a student teacher grade the rest, what percent of the papers did each person grade?

Answer 1

Mr Yoshi graded `80%` of the papers and the student teacher graded the remaining `20%`.

Explanation:

To determine the percentage of `60` out of `75` papers, we write the equation:

`75xxx/100=60`

`3cancel(75)xxx/(cancel(100)4)=60`

Multiply both sides by `4/3`.

`x=60xx4/3`

`x=20cancel(60)xx4/(cancel(3)1)`

`x=80`

Since Mr Yoshi graded `80%` of the papers, the balance is `(100-80)=20%`.

Answer 2

Mr Yoshi graded `80%` and the student teacher `20%`

Explanation:

To express one quantity as a percent of another:

`"fraction" xx 100%`

Mr Yoshi graded `60/75` papers

the student teacher graded `15/75` papers

As percentages:

`60/75 xx100%" "15/75 xx100%`

`=4/5 xx 100%" "=1/5 xx100%`

`=80%" "=20%`

`80% + 20%= 100%`