Jenson and Asher gave away the same number of buttons. Jenson gave away ³₅ of his buttons while Asher gave ⁴₉ of his buttons away. Given that Jenson had 14 buttons less than Asher at first, how many buttons did Jenson have at first?

	Jenson	Asher
Before	5x4 = 20 u	9x3 = 27 u
Change	- 3x4 = - 12 u	- 4x3 = - 12 u
After	2x4 = 8 u	5x3 = 15 u

The number of buttons that Jenson and Asher gave away is the same.  Make the number of buttons that Jenson and Asher gave away the same. LCM of 3 and 4 is 12.

Number of buttons that Jenson had at first = 20 u
Number of buttons that Asher had at first = 27 u

Number of buttons that Jenson had less than Asher at first
= 27 u - 20 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of buttons that Jenson had at first
= 20 u
= 20 x 2
= 40

Answer(s): 40