Jane had 140 more buttons than Cindy. After Jane gave away
14 of her buttons and Cindy gave away
35 of her buttons, Cindy had 154 less buttons than Jane. How many buttons did Jane have in the end?
| |
Jane |
Cindy |
Comparing Jane and
Cindy in the end |
140 more |
|
| Before |
4x5 |
+ 140 |
5x4 |
| Change |
- 1x5 |
- 35 |
- 3x4 |
| After |
3x5 |
+ 105 |
2x4 |
Comparing Jane and
Cindy in the end |
|
154 less |
| |
Jane |
Cindy |
| Before |
20 u + 140 |
20 u |
| Change |
- 5 u - 35 |
- 12 u |
| After |
15 u + 105 |
8 u |
14 x 140 = 35
140 - 35 = 105
Cindy had 154 less buttons than Jane in the end. So, if Cindy had another 154 buttons in the end, the number of buttons that Cindy and Jane each had would be the same.
15 u + 105 = 8 u + 154
15 u - 8 u = 154 - 105
7 u = 49
1 u = 49 ÷ 7 = 7
Number of buttons that Jane had in the end
= 15 u + 105
= 15 x 7 + 105
= 105 + 105
= 210
Answer(s): 210
