Irene had 110 more buttons than Nicole. After Nicole gave away
25 of her buttons, Irene had five times as many buttons as Nicole. How many buttons did Nicole have at first?
| |
Irene |
Nicole |
Comparing Irene and
Nicole at first |
110 more |
|
| Before |
15 u |
5 u |
| Change |
|
- 2 u |
| After |
15 u |
3 u |
Comparing Irene and
Nicole in the end |
5x3 =
15 u |
1x3 =
3 u |
Number of buttons that Nicole had in the end is repeated. Make the number of buttons that Nicole had in the end the same. LCM of 1 and 3 is 3.
Number of buttons that Irene had at first = 15 u
Number of buttons that Irene had more than Nicole at first
= 15 u - 5 u
= 10 u
10 u = 110
1 u = 110 ÷ 10 = 11
Number of buttons that Nicole had at first
= 5 u
= 5 x 11
= 55
Answer(s): 55
