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Charlie, Don and Egan had 180 stamps altogether. Charlie gave 1/3 of his stamps to Don. After that, Don gave 1/4 of his stamps to Egan. The three boys had the same number of stamps in the end. How many stamps did Charlie have at first?

 May 9, 2021
 #1
avatar+32859 
+1

180 all together

 

all end up with the same (60 each)       so   C - 1/3 C = 60

                                                                     C = 90    stamps originally

 May 9, 2021
 #2
avatar+186 
+1

Let Charlie, Don and Egan have c, d and e number of stamps initially.

At the end, all 3 will have 60 stamps each. So after giving away 1/3 of his stamps, Charlie is left with 2/3c stamps. Similarly, Don is left with 3/4d stamps.

Now. 2/3c=60 => c=90

3/4d=60 => d=80

Thus, e= 180-(c+d)= 10

Verification: 1/3c + 1/4d + e = 60

Ans: 90, 80 and 10

 May 17, 2021
 #3
avatar+33 
0

Charlie had 90 stamps, gave 30 (1/3) to Don, leaving 60 stamps.

 

Don had 50 stamps, received 30 from Charlie, making 80, then gave 20 (1/4) to Egan, leaving Don with 60 stamps.

 

Egan had 40 stamps, received 20 from Don, giving Egan also a total of 60 stamps.

 May 17, 2021

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