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# fractions

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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
+34432
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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
+199
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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
+148
+1

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