the highest score in an ining was 3 11 of the total, Simplification, General Mathematics

Question:The highest score in an ining was `3/11` of the total and the next highest was `3/11`       of the remainder . If the scores differed by `9`,find the total score.

Answer Let, total scores be x ,The highest scores .`(3x)/(11)`.

Remainder `= (x - (3x)/(11))`

`= (8x)/(11)`.

Next highest 

`= 3/11` of `(8x)/(11)`

`= (24x)/(121)`.

`:. (3x)/(11) - (24x)/(121) = 9`

or `33x - 24x`

`= 9 xx 121`.

or `9x = 9 xx 121`

or x `= 121`

Hence total score`= 121`.

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The highest score in an ining was `3/11` of the total and the next highest was `3/11` of the remainder . If the scores differed by `9`,find the total score.

Question:The highest score in an ining was `3/11` of the total and the next highest was `3/11` of the remainder . If the scores differed by `9`,find the total score.

Answer Let, total scores be x ,The highest scores .`(3x)/(11)`. Remainder `= (x - (3x)/(11))` `= (8x)/(11)`. Next highest `= 3/11` of `(8x)/(11)` `= (24x)/(121)`. `:. (3x)/(11) - (24x)/(121) = 9` or `33x - 24x` `= 9 xx 121`. or `9x = 9 xx 121` or x `= 121` Hence total score`= 121`.