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The ratio of the number of apples Nicole and Hannah had was 1:3. When Nicole bought 4 more apple and Hannah bought 3 more apples, the ratios became 1:2. Find the number of applles Hannah had in the end.

 Jun 17, 2021
 #1
avatar+121006 
+1

N  / H   =  1   / 3    ⇒     N =  (1/3)H         (1)

 

And

 

( N + 4)  / ( H  + 3)   =     1   /  2            (2)

 

 

Sub   (1)  into (2)  for  N

 

[ (1/3)H  + 4  ]  / ( H + 3 )    =    1   / 2                   cross-multiply

 

2 [  (1/3) H  + 4 ]    =   H +  3

 

(2/3)H   +  8   =   H  +  3

 

8  - 3    =  H  -   (2/3) H

 

5  =   (1/3) H

 

H  =  5 (3/1)  =   15

 

In the end  Hannah  had    H + 3    =   18 apples

 

 

cool cool cool

 Jun 17, 2021
 #2
avatar+1452 
+2

N : H = 1 : 3

 

(x + 4) / (3x + 3) = 1/2

 

x = 5

 

Hannah had 3*5+3 = 18 apples smiley

 Jun 17, 2021
edited by civonamzuk  Jun 17, 2021

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