At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/4 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?  Pick.
A) 12 greater B) 17 fewer C) 28 fewer D) 36 fewer E) 52 fewer
Soln&gt;&gt; from the given ratio of 16:1 u can derive that ter are 480 students   KG= 1/4 * 480= 
<gadget id="calculator">1/4 * 480</gadget>
<output>120</output>
120   5th and 6th graders= 1/3 * 384= 
<gadget id="calculator">1/3 * 384</gadget>
<output>128</output>
128 (1/3 of remainder)   1st and 2nd grade= 1/4 * 480= 
<gadget id="calculator">1/4 * 480</gadget>
<output>120</output>
120 ( 1/4 of all students)   equal number of students in 3rd and 4th=&gt; 480 - 344= 
<gadget id="calculator">480 - 344</gadget>
<output>136</output>
136 and   136/2= 
<gadget id="calculator">  136/2</gadget>
<output>68</output>
68 each since equal number   (344 is the sum of remaining students)   thus   120-68= 
<gadget id="calculator">  120-68</gadget>
<output>52</output>
52&gt;&gt;&gt; therfore answer is 28 fewer   52 fewer
<result>E</result>
At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/4 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?