Find average percent needed over tests to achieve a grade

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Simple question my mind is blanking on, but I'm trying to work out a formula for finding the average percentage score required across a number of tests given the current average.



  • So say there are $x$ number of tests remaining,

  • The student has already done $y$ number of tests of varied results,

  • If the student is after a final overall pass grade of 50%, what formula could be used to account for their current average and what the average percent they need on their remaining tests to achieve a pass.

E.g, if the student has 7 assessment items, is after a 50% final grade , they achieved 72% on the first assessment, 44% on the second assessment, and 48% on the third assessment, what average percentage do they need from the next 4 assessments to finish with an average of 50%?



Thanks.




algebra-precalculus average percentages




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    Simple question my mind is blanking on, but I'm trying to work out a formula for finding the average percentage score required across a number of tests given the current average.



    • So say there are $x$ number of tests remaining,

    • The student has already done $y$ number of tests of varied results,

    • If the student is after a final overall pass grade of 50%, what formula could be used to account for their current average and what the average percent they need on their remaining tests to achieve a pass.

    E.g, if the student has 7 assessment items, is after a 50% final grade , they achieved 72% on the first assessment, 44% on the second assessment, and 48% on the third assessment, what average percentage do they need from the next 4 assessments to finish with an average of 50%?



    Thanks.




    algebra-precalculus average percentages




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      up vote
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      up vote
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      down vote

      favorite











      Simple question my mind is blanking on, but I'm trying to work out a formula for finding the average percentage score required across a number of tests given the current average.



      • So say there are $x$ number of tests remaining,

      • The student has already done $y$ number of tests of varied results,

      • If the student is after a final overall pass grade of 50%, what formula could be used to account for their current average and what the average percent they need on their remaining tests to achieve a pass.

      E.g, if the student has 7 assessment items, is after a 50% final grade , they achieved 72% on the first assessment, 44% on the second assessment, and 48% on the third assessment, what average percentage do they need from the next 4 assessments to finish with an average of 50%?



      Thanks.




      algebra-precalculus average percentages




      share|cite|improve this question













      Simple question my mind is blanking on, but I'm trying to work out a formula for finding the average percentage score required across a number of tests given the current average.



      • So say there are $x$ number of tests remaining,

      • The student has already done $y$ number of tests of varied results,

      • If the student is after a final overall pass grade of 50%, what formula could be used to account for their current average and what the average percent they need on their remaining tests to achieve a pass.

      E.g, if the student has 7 assessment items, is after a 50% final grade , they achieved 72% on the first assessment, 44% on the second assessment, and 48% on the third assessment, what average percentage do they need from the next 4 assessments to finish with an average of 50%?



      Thanks.





      algebra-precalculus average percentages





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          If they need an average of $50%$ from $7$ tests, the total of their percentages needs to be $350%$. So far they have got $164%$, so they need another $186%$ from the remaining $4$ tests, which is an average of $46.5%$.



          The calculation is $$frac(x+y)timestextpass mark-texttotal so farx.$$






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            If they need an average of $50%$ from $7$ tests, the total of their percentages needs to be $350%$. So far they have got $164%$, so they need another $186%$ from the remaining $4$ tests, which is an average of $46.5%$.



            The calculation is $$frac(x+y)timestextpass mark-texttotal so farx.$$






            share|cite|improve this answer

























              up vote
              0
              down vote



              accepted










              If they need an average of $50%$ from $7$ tests, the total of their percentages needs to be $350%$. So far they have got $164%$, so they need another $186%$ from the remaining $4$ tests, which is an average of $46.5%$.



              The calculation is $$frac(x+y)timestextpass mark-texttotal so farx.$$






              share|cite|improve this answer























                up vote
                0
                down vote



                accepted







                up vote
                0
                down vote



                accepted






                If they need an average of $50%$ from $7$ tests, the total of their percentages needs to be $350%$. So far they have got $164%$, so they need another $186%$ from the remaining $4$ tests, which is an average of $46.5%$.



                The calculation is $$frac(x+y)timestextpass mark-texttotal so farx.$$






                share|cite|improve this answer













                If they need an average of $50%$ from $7$ tests, the total of their percentages needs to be $350%$. So far they have got $164%$, so they need another $186%$ from the remaining $4$ tests, which is an average of $46.5%$.



                The calculation is $$frac(x+y)timestextpass mark-texttotal so farx.$$







                share|cite|improve this answer













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                share|cite|improve this answer











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