Marion had 140 more buttons than Jade. After Marion gave away
25 of her buttons and Jade gave away
34 of her buttons, Jade had 161 less buttons than Marion. How many buttons did Marion have in the end?
| |
Marion |
Jade |
Comparing Marion and
Jade in the end |
140 more |
|
| Before |
5x4 |
+ 140 |
4x5 |
| Change |
- 2x4 |
- 56 |
- 3x5 |
| After |
3x4 |
+ 84 |
1x5 |
Comparing Marion and
Jade in the end |
|
161 less |
| |
Marion |
Jade |
| Before |
20 u + 140 |
20 u |
| Change |
- 8 u - 56 |
- 15 u |
| After |
12 u + 84 |
5 u |
25 x 140 = 56
140 - 56 = 84
Jade had 161 less buttons than Marion in the end. So, if Jade had another 161 buttons in the end, the number of buttons that Jade and Marion each had would be the same.
12 u + 84 = 5 u + 161
12 u - 5 u = 161 - 84
7 u = 77
1 u = 77 ÷ 7 = 11
Number of buttons that Marion had in the end
= 12 u + 84
= 12 x 11 + 84
= 132 + 84
= 216
Answer(s): 216
