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Theodore had 24 baseball cards. He sells 1/4 of his cards to Tom, 1/3 of his cards to Larry. How many baseball cards does Theodore have left?

 Mar 7, 2020
 #1
avatar+37156 
+2

starts with 24  

   24   -   1/4 (24) - 1/3(24) =   how many he has left ........

 Mar 7, 2020
 #2
avatar+865 
+1

This doesn't seem like algebra... (imo)

Theodore has 24 baseball cards and sells 1/4 of them to Tom.

1/4 of 24 is 6.

So he sells 6 to Tom.

24-6 = 18. Theodore has 18 cards left.

Sells 1/3 of those, and 1/3 of 18 is also 6.

Subtract 16: 18 - 6 = 12.

 

So Theodore has 12 cards left.

 Mar 7, 2020
 #3
avatar+37156 
0

This is a poorly worded problem......it does not say that he gave 1/3 of what was left after giving 1/4 away.....who knows what is meant by

'He sells 1/4 of his cards to Tom, 1/3 of his cards to Larry.'      I interpreted it as he gave 1/4 of total and 1/3 of total ....then how much is left?

you interpreted it as    gives 1/4     then gives 1/3 of the remainder to Larry.....    both of our answers are correct ! cheeky

ElectricPavlov  Mar 8, 2020
 #4
avatar+865 
0

Yeah. The problem was poorly worded. It depends on whether he meant 1/3  of what was left, or 1/3 of all his cards.

AnimalMaster  Mar 8, 2020

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