Hilda had 96 more buttons than Kathy. After Hilda gave away
14 of her buttons and Kathy gave away
23 of her buttons, Kathy had 97 less buttons than Hilda. How many buttons did Hilda have at first?
| |
Hilda |
Kathy |
Comparing Hilda and
Kathy at first |
96 more |
|
| Before |
4x3 |
+ 96 |
3x4 |
| Change |
- 1x3 |
- 24 |
- 2x4 |
| After |
3x3 |
+ 72 |
1x4 |
Comparing Hilda and
Kathy in the end |
|
97 less |
| |
Hilda |
Kathy |
| Before |
12 u + 96 |
12 u |
| Change |
- 3 u - 24 |
- 8 u |
| After |
9 u + 72 |
4 u |
14 x 96 = 24
96 - 24 = 72
Kathy had 97 less buttons than Hilda in the end. So, if Kathy had another 97 buttons in the end, the number of buttons that Kathy and Hilda each had would be the same.
9 u + 72 = 4 u + 97
9 u - 4 u = 97 - 72
5 u = 25
1 u = 25 ÷ 5 = 5
Number of buttons that Hilda had at first
= 12 u + 96
= 12 x 5 + 96
= 60 + 96
= 156
Answer(s): 156
