Question 938448

Nadia received quiz grades of {{{80}}}, {{{86}}}, {{{73}}}, and {{{91}}}. 
a. what grade would she need to make on the fifth quiz to get a {{{B}}} average, that is, at least {{{80}}} but less than {{{90}}}?

{{{80<=(80+86+73+91+x)/5<=90}}}

{{{80<=(330+x)/5<=90}}}

{{{80<=66+x/5<=90}}}

{{{80-66<=66-66+x/5<=90-66}}}

{{{14<=x/5<=24}}}

{{{14*5<=5x/5<=24*5}}}

{{{70<=x<=120}}}

b. is it possible for Nadia to get an {{{A}}} average for her quizzes (at least {{{90}}})?

no, it is {{{NOT}}} possible for Nadia to get an {{{A}}} average for her quizzes (at least {{{90}}}) because it would require her to make {{{120}}} on the fifth quiz which is impossible since highest grade is {{{100}}}