Joseph’s grade was in the 80th percentile out of 100 grades in his class. In another class of 60 students there were 15 grades higher than Joseph’s. If nobody had Joseph’s grade, then Joseph’s was what percentile of the two classes combined?
Select
A) 80	B) 78	C) 75	D) 60	E) 90
Being in 80% percentile out of 100 grades means Joseph was 81st (from the least grade) in the class (as long as nobody had Joseph’s grades), he outscored 80.   In another class his grade would rank him 46 (from the least grade out of 61, 60+Joseph), 45 had the grades lower than Amy.   So in combined classes he outscored 80+45= 
<gadget id="calculator">80+45</gadget>
<output>125</output>
125. There are 160 students 125/160=0.78   Answer: B (78%)   Generally being in x% means that x% has the grades less than you.   Joseph in 80% --&gt; he outscored 80% of of 100=80 (Joseph is 81st).   Of the 60 grades from another class, 15 were higher than Joseph 's, and the rest were lower --&gt; rest is 45, hence Amy outscored 45.   So out of total  100+60= 
<gadget id="calculator"> 100+60</gadget>
<output>160</output>
160, Joseph outscored 80+45= 
<gadget id="calculator">80+45</gadget>
<output>125</output>
125. Hence he is in 125/160=78%.   Answer: 78
<result>B</result>
Joseph’s grade was in the 80th percentile out of 100 grades in his class. In another class of 60 students there were 15 grades higher than Joseph’s. If nobody had Joseph’s grade, then Joseph’s was what percentile of the two classes combined?