Irene had 66 more buttons than Vanessa. After Irene gave away
13 of her buttons and Vanessa gave away
34 of her buttons, Vanessa had 89 less buttons than Irene. How many buttons did Irene have at first?
| |
Irene |
Vanessa |
Comparing Irene and
Vanessa at first |
66 more |
|
| Before |
3x4 |
+ 66 |
4x3 |
| Change |
- 1x4 |
- 22 |
- 3x3 |
| After |
2x4 |
+ 44 |
1x3 |
Comparing Irene and
Vanessa in the end |
|
89 less |
| |
Irene |
Vanessa |
| Before |
12 u + 66 |
12 u |
| Change |
- 4 u - 22 |
- 9 u |
| After |
8 u + 44 |
3 u |
13 x 66 = 22
66 - 22 = 44
Vanessa had 89 less buttons than Irene in the end. So, if Vanessa had another 89 buttons in the end, the number of buttons that Vanessa and Irene each had would be the same.
8 u + 44 = 3 u + 89
8 u - 3 u = 89 - 44
5 u = 45
1 u = 45 ÷ 5 = 9
Number of buttons that Irene had at first
= 12 u + 66
= 12 x 9 + 66
= 108 + 66
= 174
Answer(s): 174
