Elijah and Will gave away the same number of buttons. Elijah gave away
35 of his buttons while Will gave
49 of his buttons away. Given that Elijah had 14 buttons less than Will at first, how many buttons did Elijah have at first?
|
Elijah |
Will |
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 Elijah and Will gave away is the same. Make the number of buttons that Elijah and Will gave away the same. LCM of 3 and 4 is 12.
Number of buttons that Elijah had at first = 20 u
Number of buttons that Will had at first = 27 u
Number of buttons that Elijah had less than Will at first
= 27 u - 20 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of buttons that Elijah had at first
= 20 u
= 20 x 2
= 40
Answer(s): 40