SOLUTION: At Newfield HS, the sophomore class has 60 more students that the freshman class. The junior class has 50 fewer students than twice the students in the freshman class. The senior c

Algebra ->  Equations -> SOLUTION: At Newfield HS, the sophomore class has 60 more students that the freshman class. The junior class has 50 fewer students than twice the students in the freshman class. The senior c      Log On


   

Question 239584: At Newfield HS, the sophomore class has 60 more students that the freshman class. The junior class has 50 fewer students than twice the students in the freshman class. The senior class is threww times as large as the freshman class. If there are a total of 1,424 students at NHS, how many students are in the freshman class?
Let __ = the # of freshman
Let __ = the # of sophomores
Let __ = the # of juniors
Let __ = the # of seniors
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
At Newfield HS, the sophomore class has 60 more students that the freshman class. The junior class has 50 fewer students than twice the students in the freshman class. The senior class is threww times as large as the freshman class. If there are a total of 1,424 students at NHS, how many students are in the freshman class?
.
Let x = the # of freshman
Let x+60 = the # of sophomores
Let 2x-50 = the # of juniors
Let 3x = the # of seniors
Total students: 1,424
.
Your equation would be:
x%2B%28x%2B60%29%2B%282x-50%29%2B%283x%29=1424
...same as...
x%2Bx%2B60%2B2x-50%2B3x=1424
Now add all x terms and all integers.
7x%2B10=1424
7x=1424-10
I'll let you finish it.
Since x=freshmen, the x value will be the number of freshmen at NHS.