Will had
35 the number of buttons that Caden had at first. After Caden gave Will 30 of his buttons, Will had
45 the number of buttons that Caden had. How many buttons did Will have at first?
|
Will |
Caden |
Total |
Before |
3x9 = 27 u |
5x9 = 45 u |
8x9 = 72 u |
Change |
+ 5 u |
- 5 u |
|
After |
4x8 = 32 u |
5x8 = 40 u |
9x8 = 72 u |
The total number of buttons that Will and Caden had at first and in the end remains unchanged. Make the total number of buttons the same. LCM of 8 and 9 is 72.
Number of buttons that Caden gave Will
= 32 u - 27 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of buttons that Will had at first
= 27 u
= 27 x 6
= 162
Answer(s): 162