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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 ?

 Oct 3, 2015
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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

3/5y jellybeans. 

 

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 . 

 Oct 3, 2015

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