Kelly had 3/5 as many jellybeans as Lynn. After Lynn gave Kelly 3/5 of her jellybeans, Kelly had 160 more than Lynn. How many jellybeans did they have altogether ?
You can solve this as an equation in one variable.
1-) The question say that Kelly had 3/5 as many jellybaens as Lynn.(Suppose that Lynn had y Jellybeans ) , so kelly had
2-) After Lynn gave Kelly 3/5 of her jellybeans, now Kelly had ( 3/5y+3/5y ) .
3-) Kelly had 160 more than Lynn . so the equation now become 3/5y+3/5y = 160 + y
solve this equation to find the value of y which represent how many jellybeans lynn had.
3/5y+3/5y = 160 + y
6/5 y = 160 + y
1/5 y = 160
y = 800
so Lynn had 800 jellybeans .
and we know that Kelly had 3/5 as many as Lynn , so
Number of Kelly's jellybeans = 3/5*800 = 480 jellybeans .
Lynn had 800 jellybeans
Killy had 480 jellybeans
The total jellybeans is 800+480 = 1280 .