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
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.
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