Ivan and Will gave away the same number of buttons. Ivan gave away
35 of his buttons while Will gave
59 of his buttons away. Given that Ivan had 20 buttons less than Will at first, how many buttons did Ivan have at first?
|
Ivan |
Will |
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 Ivan and Will gave away is the same. Make the number of buttons that Ivan and Will gave away the same. LCM of 3 and 5 is 15.
Number of buttons that Ivan had at first = 25 u
Number of buttons that Will had at first = 27 u
Number of buttons that Ivan had less than Will at first
= 27 u - 25 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of buttons that Ivan had at first
= 25 u
= 25 x 10
= 250
Answer(s): 250