Gwen had 80 more buttons than Min. After Gwen gave away
14 of her buttons and Min gave away
23 of her buttons, Min had 120 less buttons than Gwen. How many buttons did Gwen have at first?
| |
Gwen |
Min |
Comparing Gwen and
Min at first |
80 more |
|
| Before |
4x3 |
+ 80 |
3x4 |
| Change |
- 1x3 |
- 20 |
- 2x4 |
| After |
3x3 |
+ 60 |
1x4 |
Comparing Gwen and
Min in the end |
|
120 less |
| |
Gwen |
Min |
| Before |
12 u + 80 |
12 u |
| Change |
- 3 u - 20 |
- 8 u |
| After |
9 u + 60 |
4 u |
14 x 80 = 20
80 - 20 = 60
Min had 120 less buttons than Gwen in the end. So, if Min had another 120 buttons in the end, the number of buttons that Min and Gwen each had would be the same.
9 u + 60 = 4 u + 120
9 u - 4 u = 120 - 60
5 u = 60
1 u = 60 ÷ 5 = 12
Number of buttons that Gwen had at first
= 12 u + 80
= 12 x 12 + 80
= 144 + 80
= 224
Answer(s): 224
