Irene had 130 more buttons than Marion. After Marion gave away
14 of her buttons, Irene had twice as many buttons as Marion. How many buttons did Marion have at first?
| |
Irene |
Marion |
Comparing Irene
and Marion at first |
130 more |
|
| Before |
6 u |
4 u |
| Change |
|
- 1 u |
| After |
|
3 u |
Comparing Irene
and Marion in the end |
2x3 =
6 u |
1x3 =
3 u |
The number of buttons that Irene had at first and in the end remains unchanged. Make the number of buttons that Irene had the same. LCM of 6 and 2 is 6.
Number of buttons that Irene had more than Marion at first
= 6 u - 4 u
= 2 u
2 u = 130
1 u = 130 ÷ 2 = 65
Number of buttons that Marion had at first
= 4 u
= 4 x 65
= 260
Answer(s): 260
