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lex had 144 coins left after giving one-third of his coins to Clark and one-third of his remaining coins to Lois. How my coins dad he give Lois

 Jan 18, 2019
 #1
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+1

Let the number of coins that he started with= C
2/3C left - after he gave 1/3 to Clark
4/9C left - after he gave  1/3 to Lois
4/9C = 144, solve for C
C =144 x 9/4 =324 - Coins that Lex started with.
324 x  1/3 =108 Coins he gave to Clark
324 - 108 =216 Coins left
216 x 1/3 =72 Coins he gave to Lois.
216 -72=144 - Coins that he is left with.
                            

 Jan 18, 2019
 #2
avatar+102921 
+1

Let N be what he started with

 

After he gave1/3 of his coins to Clark  and 1/3 of the remaining coins to Lois  we have

 

After giving (1/3) to Clark, he had (2/3)N left

 

After giving (1/3) of these to Lois, we have

 

(2/3)[(2/3)N] = 144 

 

(4/9) N  = 144

 

N =  144 * 9 / 4   =  324

 

After giving (1/3) of these to Clark he had   216 left

 

He gave (1/3) of these to Lois =  216 / 3  =   72

 

cool cool cool

 Jan 18, 2019

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