Question 456663
A student has scored an average of 87 on seven tests.
 To get an A in the class, she must have an average of 90 or greater on a total of ten tests.
 What is the greatest integer average the student could receive on the next three tests WITHOUT getting an A in the class?
:
let x = the av of the last 3 tests, which will be less than a 90 av
:
{{{(7(87) + 3x)/10}}} < 90
multiply both sides by 10
609 + 3x < 900
3x  < 900 - 609
3x < 291
x  < {{{291/3}}}
x < 97, she would have av less than 97 on the last 3 tests, in order to escape getting an A
:
The integer value would be 98.