Reggie and Justin gave away the same number of buttons. Reggie gave away
35 of his buttons while Justin gave
59 of his buttons away. Given that Reggie had 22 buttons less than Justin at first, how many buttons did Reggie have at first?
|
Reggie |
Justin |
Before |
5x5 = 25 u |
9x3 = 27 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
After |
2x5 = 10 u |
4x3 = 12 u |
The number of buttons that Reggie and Justin gave away is the same. Make the number of buttons that Reggie and Justin gave away the same. LCM of 3 and 5 is 15.
Number of buttons that Reggie had at first = 25 u
Number of buttons that Justin had at first = 27 u
Number of buttons that Reggie had less than Justin at first
= 27 u - 25 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of buttons that Reggie had at first
= 25 u
= 25 x 11
= 275
Answer(s): 275