SOLUTION: There are 363 students at meadowbrook high school. There are 10 more freshman than sophomores, 20 more juniors than sophomores, and seven more seniors than freshman. How many senio

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Question 1138117: There are 363 students at meadowbrook high school. There are 10 more freshman than sophomores, 20 more juniors than sophomores, and seven more seniors than freshman. How many seniors are there at the school?
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Seniors = x
Juniors = ((x - 7) - 10) + 20
Sophomores = (x - 7) - 10
Freshmen = x - 7

(x) + (((x - 7) - 10) + 20) + ((x - 7) - 10) + (x - 7) = 363

(x) + (x + 3) + (x - 17) + (x - 7) = 363

4x - 21 = 363

4x = 384

x = 96

Seniors = x = 96

Double-check:

Seniors = x = 96
Juniors = ((x - 7) - 10) + 20 = 99
Sophomores = (x - 7) - 10 = 79
Freshmen = x - 7 = 89

"There are 363 students at meadowbrook high school":
96 + 99 + 79 + 89 = 363

"There are 10 more freshmen than sophomores":
89 freshmen - 79 sophomores = 10 more freshmen

"20 more juniors than sophomores":
99 juniors - 79 sophomores = 20 more juniors

"Seven (7) more seniors than freshman":
96 seniors - 89 freshmen = 7 more seniors