Hilda had 104 more buttons than Betty. After Hilda gave away
14 of her buttons and Betty gave away
34 of her buttons, Betty had 86 less buttons than Hilda. How many buttons did Hilda have at first?
| |
Hilda |
Betty |
Comparing Hilda and
Betty at first |
104 more |
|
| Before |
4x1 |
+ 104 |
4x1 |
| Change |
- 1x1 |
- 26 |
- 3x1 |
| After |
3x1 |
+ 78 |
1x1 |
Comparing Hilda and
Betty in the end |
|
86 less |
| |
Hilda |
Betty |
| Before |
4 u + 104 |
4 u |
| Change |
- 1 u - 26 |
- 3 u |
| After |
3 u + 78 |
1 u |
14 x 104 = 26
104 - 26 = 78
Betty had 86 less buttons than Hilda in the end. So, if Betty had another 86 buttons in the end, the number of buttons that Betty and Hilda each had would be the same.
3 u + 78 = 1 u + 86
3 u - 1 u = 86 - 78
2 u = 8
1 u = 8 ÷ 2 = 4
Number of buttons that Hilda had at first
= 4 u + 104
= 4 x 4 + 104
= 16 + 104
= 120
Answer(s): 120
