Xandra had 106 more buttons than Barbara. After Barbara gave away
14 of her buttons, Xandra had twice as many buttons as Barbara. How many buttons did Barbara have at first?
| |
Xandra |
Barbara |
Comparing Xandra
and Barbara at first |
106 more |
|
| Before |
6 u |
4 u |
| Change |
|
- 1 u |
| After |
|
3 u |
Comparing Xandra
and Barbara in the end |
2x3 =
6 u |
1x3 =
3 u |
The number of buttons that Xandra had at first and in the end remains unchanged. Make the number of buttons that Xandra had the same. LCM of 6 and 2 is 6.
Number of buttons that Xandra had more than Barbara at first
= 6 u - 4 u
= 2 u
2 u = 106
1 u = 106 ÷ 2 = 53
Number of buttons that Barbara had at first
= 4 u
= 4 x 53
= 212
Answer(s): 212
