Hazel had 32 more buttons than Kimberly. After Hazel gave away
14 of her buttons and Kimberly gave away
23 of her buttons, Kimberly had 34 less buttons than Hazel. How many buttons did Hazel have at first?
| |
Hazel |
Kimberly |
Comparing Hazel and
Kimberly at first |
32 more |
|
| Before |
4x3 |
+ 32 |
3x4 |
| Change |
- 1x3 |
- 8 |
- 2x4 |
| After |
3x3 |
+ 24 |
1x4 |
Comparing Hazel and
Kimberly in the end |
|
34 less |
| |
Hazel |
Kimberly |
| Before |
12 u + 32 |
12 u |
| Change |
- 3 u - 8 |
- 8 u |
| After |
9 u + 24 |
4 u |
14 x 32 = 8
32 - 8 = 24
Kimberly had 34 less buttons than Hazel in the end. So, if Kimberly had another 34 buttons in the end, the number of buttons that Kimberly and Hazel each had would be the same.
9 u + 24 = 4 u + 34
9 u - 4 u = 34 - 24
5 u = 10
1 u = 10 ÷ 5 = 2
Number of buttons that Hazel had at first
= 12 u + 32
= 12 x 2 + 32
= 24 + 32
= 56
Answer(s): 56
