Hilda had 90 more buttons than Hazel. After Hilda gave away
15 of her buttons and Hazel gave away
35 of her buttons, Hazel had 82 less buttons than Hilda. How many buttons did Hilda have at first?
| |
Hilda |
Hazel |
Comparing Hilda and
Hazel at first |
90 more |
|
| Before |
5x1 |
+ 90 |
5x1 |
| Change |
- 1x1 |
- 18 |
- 3x1 |
| After |
4x1 |
+ 72 |
2x1 |
Comparing Hilda and
Hazel in the end |
|
82 less |
| |
Hilda |
Hazel |
| Before |
5 u + 90 |
5 u |
| Change |
- 1 u - 18 |
- 3 u |
| After |
4 u + 72 |
2 u |
15 x 90 = 18
90 - 18 = 72
Hazel had 82 less buttons than Hilda in the end. So, if Hazel had another 82 buttons in the end, the number of buttons that Hazel and Hilda each had would be the same.
4 u + 72 = 2 u + 82
4 u - 2 u = 82 - 72
2 u = 10
1 u = 10 ÷ 2 = 5
Number of buttons that Hilda had at first
= 5 u + 90
= 5 x 5 + 90
= 25 + 90
= 115
Answer(s): 115
