The ratio of Stanley's colored markers to Jiayi's markers was 4:1. Jiayi had a big art project to work on, so Stanley let her borrow 50 markers. As a result, the ratio of Stanley's markers to Jiayi's changed to 2:3. If Jiayi ended up with 75 markers, how many markers did Stanley start with?
Let x= Stanley's colored markers y=Jiayi's markers We have the following system: Initial relationship: 4/1=x/y Stanley let her borrow 50 markers: 2/3=(x-50)/(75) x-50=(2/3)*75 x=(2/3)*75 + 50 =100 Answer: Stanley start with 100 markers