Sabrina had 140 more buttons than Cathy. After Sabrina gave away
14 of her buttons and Cathy gave away
25 of her buttons, Cathy had 141 less buttons than Sabrina. How many buttons did Sabrina have in the end?
| |
Sabrina |
Cathy |
Comparing Sabrina and
Cathy in the end |
140 more |
|
| Before |
4x5 |
+ 140 |
5x4 |
| Change |
- 1x5 |
- 35 |
- 2x4 |
| After |
3x5 |
+ 105 |
3x4 |
Comparing Sabrina and
Cathy in the end |
|
141 less |
| |
Sabrina |
Cathy |
| Before |
20 u + 140 |
20 u |
| Change |
- 5 u - 35 |
- 8 u |
| After |
15 u + 105 |
12 u |
14 x 140 = 35
140 - 35 = 105
Cathy had 141 less buttons than Sabrina in the end. So, if Cathy had another 141 buttons in the end, the number of buttons that Cathy and Sabrina each had would be the same.
15 u + 105 = 12 u + 141
15 u - 12 u = 141 - 105
3 u = 36
1 u = 36 ÷ 3 = 12
Number of buttons that Sabrina had in the end
= 15 u + 105
= 15 x 12 + 105
= 180 + 105
= 285
Answer(s): 285
