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?

Respuesta :

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