+0  
 
0
36
1
avatar

The ratio of Nathan's cherries to Shane's cherries was 9:2. After Nathan ate 32 cherries, the ratio became 1:2. How many cherries did Nathan have at first?

 Apr 25, 2021
 #1
avatar+118504 
+1

Call the total  nuber of cherries . N

 

Nathan  started with  (9) /(9 + 2)   = 9/11  of  them

 

And Shane had (2/11) of them

 

So

 

(9/11) N  -  32                1

____________   =       ___        cross-multiply

    (2/11)N                      2

 

 

2 [ (9/11)N -  32 ] =  (2/11)N

 

(18/11 )  N  -  64  =  (2/11)N

 

(18/11)N - ( 2/11)N   =  64

 

(16/11)N   = 64

 

N = 64 (  11  / 16)    =    44   =  total number

 

Natan  started  with (9/11) (44)  =  36

 

 

cool cool cool

 Apr 25, 2021

14 Online Users

avatar
avatar
avatar
avatar