Ryan gave ¹₈ of his buttons to Ken, ²₇ of his remaining buttons to Jack and ¹₃ of the rest of his buttons to Pierre. He then had 130 buttons left. How many buttons had he at first?
Fraction of the rest of the buttons that Ryan had left after giving to Ken, Jack and Pierre
= 1 - ¹₃
= ²₃

²₃ of the rest of the buttons that Ryan had left = 130
¹₃ of the rest of the buttons that Ryan had left = 130 ÷ 2 = 65
³₃ of the rest of the buttons that Ryan had left = 3 x 65 = 195

Fraction of his remaining buttons that Ryan had left after giving to Ken and Jack
= 1 - ²₇
= ⁵₇

⁵₇ of his remaining buttons that Ryan had left = 195
¹₇ of his remaining buttons that Ryan had left = 195 ÷ 5 = 39
⁷₇ of his remaining buttons that Ryan had left = 7 x 39 = 273

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

⁷₈ of the buttons that Ryan had left = 273
¹₈ of the buttons that Ryan had left = 273 ÷ 7 = 39
⁸₈ of the buttons that Ryan had left = 8 x 39 = 312

Number of buttons that Ryan had at first = 312

Answer(s): 312