## Newton’s Class

More than $93$ percent of the students in Mr. Newton’s math class are girls. If Mr. Newton’s class has at least one boy, what is the least possible size of his class?
Source: mathcontest.olemiss.edu 2/24/2014

SOLUTION
Ratio    Percent
$1:2\qquad 50.00$
$3:4\qquad 75.00$
$4:5\qquad 80.00$
$5:6\qquad 83.33$
$6:7\qquad 85.71$
$7:8\qquad 87.50$
$9:10\quad\:\: 90.00$
$10:11\quad\:\: 90.90$
$11:12\quad\:\: 91.67$
$12:13\quad\:\: 92.31$
$13:14\quad\:\: 92.86$
$14:15\quad\:\: 93.33$
$15:16\quad\:\: 93.75$
$16:17\quad\:\: 94.12$
$17:18\quad\:\: 94.44$
$\cdots$
The least possible size of his class is $15$.

Answer: $15$