Glen had
38 the number of buttons that Jack had at first. After Jack gave Glen 144 of his buttons, Glen had
34 the number of buttons that Jack had. How many buttons did Glen have at first?
|
Glen |
Jack |
Total |
Before |
3x7 = 21 u |
8x7 = 56 u |
11x7 = 77 u |
Change |
+ 12 u |
- 12 u |
|
After |
3x11 = 33 u |
4x11 = 44 u |
7x11 = 77 u |
The total number of buttons that Glen and Jack had at first and in the end remains unchanged. Make the total number of buttons the same. LCM of 11 and 7 is 77.
Number of buttons that Jack gave Glen
= 33 u - 21 u
= 12 u
12 u = 144
1 u = 144 ÷ 12 = 12
Number of buttons that Glen had at first
= 21 u
= 21 x 12
= 252
Answer(s): 252