The average weight of a class is x pounds. When a new student weighing 60 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x? Choices.
A) 85
B) 86
C) 88
D) 90
E) 92
When the student weighs 80 pounds the average weight is x - 1 pounds;   When the student weighs 110 pounds the average weight is x + 4 pounds.   So, the increase in total weight of 110 - 80= 
<gadget id="calculator">110 - 80</gadget>
<output>30</output>
30 pounds corresponds to the increase in average weight of (x + 4) - (x - 1) =5 pounds, which means that there are 30/5 (  + 4) - (  - 1)= 
<gadget id="calculator">(  + 4) - (  - 1)</gadget>
<output>5</output>
5 pounds, which means that there are  30/5= 
<gadget id="calculator"> 30/5</gadget>
<output>6</output>
6 students (including the new one). So, initially there were 5 student.   Total weight= 5x + 80 = 6(x-1) --&gt; x = 88 pounds.   Answer: 88.
<result>C</result>
The average weight of a class is x pounds. When a new student weighing 60 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?