SAT Algebra Word Problems

Algebra Level 1

Katie and Beth had the same number of marbles on January 1st. By the end of the year, Katie's collection of marbles increased by \(25\%\) and Beth's decreased by \(75\%\). On December 31st, the number of marbles Beth owned was what percent of the number of marbles Katie owned?

(A) \(\ \ 18.75\%\)
(B) \(\ \ 20\%\)
(C) \(\ \ 33.33\%\)
(D) \(\ \ 75\%\)
(E) \(\ \ 100\%\)