Warren and Reggie gave away the same number of erasers. Warren gave away ³₄ of his erasers while Reggie gave ⁵₉ of his erasers away. Given that Warren had 21 erasers less than Reggie at first, how many erasers did Warren have at first?

	Warren	Reggie
Before	4x5 = 20 u	9x3 = 27 u
Change	- 3x5 = - 15 u	- 5x3 = - 15 u
After	1x5 = 5 u	4x3 = 12 u

The number of erasers that Warren and Reggie gave away is the same.  Make the number of erasers that Warren and Reggie gave away the same. LCM of 3 and 5 is 15.

Number of erasers that Warren had at first = 20 u
Number of erasers that Reggie had at first = 27 u

Number of erasers that Warren had less than Reggie at first
= 27 u - 20 u
= 7 u

7 u = 21

1 u = 21 ÷ 7 = 3

Number of erasers that Warren had at first
= 20 u
= 20 x 3
= 60

Answer(s): 60