Kathy had 96 more buttons than Jean. After Kathy gave away
14 of her buttons and Jean gave away
35 of her buttons, Jean had 135 less buttons than Kathy. How many buttons did Kathy have at first?
| |
Kathy |
Jean |
Comparing Kathy and
Jean at first |
96 more |
|
| Before |
4x5 |
+ 96 |
5x4 |
| Change |
- 1x5 |
- 24 |
- 3x4 |
| After |
3x5 |
+ 72 |
2x4 |
Comparing Kathy and
Jean in the end |
|
135 less |
| |
Kathy |
Jean |
| Before |
20 u + 96 |
20 u |
| Change |
- 5 u - 24 |
- 12 u |
| After |
15 u + 72 |
8 u |
14 x 96 = 24
96 - 24 = 72
Jean had 135 less buttons than Kathy in the end. So, if Jean had another 135 buttons in the end, the number of buttons that Jean and Kathy each had would be the same.
15 u + 72 = 8 u + 135
15 u - 8 u = 135 - 72
7 u = 63
1 u = 63 ÷ 7 = 9
Number of buttons that Kathy had at first
= 20 u + 96
= 20 x 9 + 96
= 180 + 96
= 276
Answer(s): 276
