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Joe has some baseball cards, and his brother has 1/3 as many as Joe. Joe has 36 more than his brother. How many does Joe have?

 Apr 15, 2021
 #1
avatar+59 
+2

"Joe has some baseball cards, and his brother has 1/3 as many as Joe. Joe has 36 more than his brother."

We know that Joe's brother has 1/3 as many as Joe. In the problem, they tell us Joe has 36 more than his brother.

This tells us that 2/3 of Joe's baseball cards are 36. 

To figure out what 1/3 of his total is we just have to divide 36 by 2 (because 36 is 2/3 of the total).

36 divided by 2 is 18

18 is 1/3 of the total. We just need to multiply 18 by 3 to get the answer!

18 times 3 is 54

Joe has 54 baseball cards.  wink

 

Hope this helped! laugh

 Apr 15, 2021
 #2
avatar+33620 
+1

b = 1/3 j

j   =     b        + 36         these are given        sub first into second equation

j   =    1/3j     + 36

2/3 j = 36

j = 54 cards

 Apr 15, 2021

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