Question 1138117
Seniors = x
Juniors = ((x - 7) - 10) + 20
Sophomores = (x - 7) - 10
Freshmen = x - 7
<pr>
(x) + (((x - 7) - 10) + 20) + ((x - 7) - 10) + (x - 7) = 363
<pr>
(x) + (x + 3) + (x - 17) + (x - 7) = 363
<pr>
4x - 21 = 363
<pr>
4x = 384
<pr>
x = 96
<pr>
<b>Seniors = x = 96</b>
<pr>
Double-check:
<pr>
Seniors = x = <b>96</b>
Juniors = ((x - 7) - 10) + 20 = <b>99</b>
Sophomores = (x - 7) - 10 = <b>79</b>
Freshmen = x - 7 = <b>89</b>
<pr>
"There are 363 students at meadowbrook high school":
96 + 99 + 79 + 89 = 363
<pr>
"There are 10 more freshmen than sophomores":
89 freshmen - 79 sophomores = 10 more freshmen
<pr>
"20 more juniors than sophomores":
99 juniors - 79 sophomores = 20 more juniors
<pr>
"Seven (7) more seniors than freshman":
96 seniors - 89 freshmen = 7 more seniors