The ratio of the number of beads karen had to the number of beads patricia had was 2: 5 .after patricia bought another 75 beads, the ratio became 4: 15.how many beads did each girl have at first?

X - the number of Karen's beads
y - the number of Patricia's beads
The ratio x:y=2:5.



Then Patricia bought another 75 beads, so the number of her beads became y+75 and the ratio became 4:15.



y from the first equation is equal to y from the second equation.


Karen had 60 beads and Patricia had 150 beads.