Ryan gave ¹₈ of his cards to Glen, ¹₇ of his remaining cards to Xavier and ¹₄ of the rest of his cards to Mark. He then had 153 cards left. How many cards had he at first?
Fraction of the rest of the cards that Ryan had left after giving to Glen, Xavier and Mark
= 1 - ¹₄
= ³₄

³₄ of the rest of the cards that Ryan had left = 153
¹₄ of the rest of the cards that Ryan had left = 153 ÷ 3 = 51
⁴₄ of the rest of the cards that Ryan had left = 4 x 51 = 204

Fraction of his remaining cards that Ryan had left after giving to Glen and Xavier
= 1 - ¹₇
= ⁶₇

⁶₇ of his remaining cards that Ryan had left = 204
¹₇ of his remaining cards that Ryan had left = 204 ÷ 6 = 34
⁷₇ of his remaining cards that Ryan had left = 7 x 34 = 238

Fraction of his remaining cards that Ryan had left after giving to Glen
= 1 - ¹₈
= ⁷₈

⁷₈ of the cards that Ryan had left = 238
¹₈ of the cards that Ryan had left = 238 ÷ 7 = 34
⁸₈ of the cards that Ryan had left = 8 x 34 = 272

Number of cards that Ryan had at first = 272

Answer(s): 272