Let F = # of faculty members last yearern5231 wrote:Last year, the Faculty to Students Ratio was is 1: 13. This year Faculty count increased by 14 and students increased by 74. The ratio now becomes 1: 12. How many students are present this year?
Let S = #of students last year
"Last year, the Faculty to Students Ratio was is 1: 13" --> F/S = 1/13
"This year Faculty count increased by 14 and students increased by 74. The ratio now becomes 1: 12" --> (F+14)/(S+24) = 1/12
We have a system of equations that we can solve for F and S
F/S = 1/13
(F+14)/(S+74) = 1/12
F=94
S=1222
Note These are the numbers from last year.
This year's student population is 1222+74 = 1296
