SOLUTION: there are 24 more sophomores than juniors in a chemistry class.if there are 42 students in this class, find the number of sophomores and the number of juniors in the class.

Algebra ->  Equations -> SOLUTION: there are 24 more sophomores than juniors in a chemistry class.if there are 42 students in this class, find the number of sophomores and the number of juniors in the class.      Log On


   

Question 986855: there are 24 more sophomores than juniors in a chemistry class.if there are 42 students in this class, find the number of sophomores and the number of juniors in the class.
Answer by MathLover1(20849) About Me  (Show Source):
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let sophomores be s and juniors j
if there are 24 more sophomores than juniors in a chemistry class, then we have
s=j%2B24
if there are 42 students in this class, then
s%2Bj=42.....substitute j%2B24 for s
j%2B24%2Bj=42
2j=42-24
2j=18
j=18%2F2
highlight%28j=9%29-the number of juniors
and
s=9%2B24=>highlight%28s=33%29-the number of sophomores