Seth and Bryan gave away the same number of buttons. Seth gave away
35 of his buttons while Bryan gave
59 of his buttons away. Given that Seth had 22 buttons less than Bryan at first, how many buttons did Seth have at first?
|
Seth |
Bryan |
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 Seth and Bryan gave away is the same. Make the number of buttons that Seth and Bryan gave away the same. LCM of 3 and 5 is 15.
Number of buttons that Seth had at first = 25 u
Number of buttons that Bryan had at first = 27 u
Number of buttons that Seth had less than Bryan at first
= 27 u - 25 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of buttons that Seth had at first
= 25 u
= 25 x 11
= 275
Answer(s): 275