Reggie gave ¹₉ of his cards to Pierre, ¹₁₀ of his remaining cards to Asher and ²₇ of the rest of his cards to Eric. He then had 180 cards left. How many cards had he at first?
Fraction of the rest of the cards that Reggie had left after giving to Pierre, Asher and Eric
= 1 - ²₇
= ⁵₇

⁵₇ of the rest of the cards that Reggie had left = 180
¹₇ of the rest of the cards that Reggie had left = 180 ÷ 5 = 36
⁷₇ of the rest of the cards that Reggie had left = 7 x 36 = 252

Fraction of his remaining cards that Reggie had left after giving to Pierre and Asher
= 1 - ¹₁₀
= ⁹₁₀

⁹₁₀ of his remaining cards that Reggie had left = 252
¹₁₀ of his remaining cards that Reggie had left = 252 ÷ 9 = 28
¹⁰₁₀ of his remaining cards that Reggie had left = 10 x 28 = 280

Fraction of his remaining cards that Reggie had left after giving to Pierre
= 1 - ¹₉
= ⁸₉

⁸₉ of the cards that Reggie had left = 280
¹₉ of the cards that Reggie had left = 280 ÷ 8 = 35
⁹₉ of the cards that Reggie had left = 9 x 35 = 315

Number of cards that Reggie had at first = 315

Answer(s): 315