Winnie had 72 more buttons than Gwen. After Winnie gave away
14 of her buttons and Gwen gave away
25 of her buttons, Gwen had 75 less buttons than Winnie. How many buttons did Winnie have in the end?
| |
Winnie |
Gwen |
Comparing Winnie and
Gwen in the end |
72 more |
|
| Before |
4x5 |
+ 72 |
5x4 |
| Change |
- 1x5 |
- 18 |
- 2x4 |
| After |
3x5 |
+ 54 |
3x4 |
Comparing Winnie and
Gwen in the end |
|
75 less |
| |
Winnie |
Gwen |
| Before |
20 u + 72 |
20 u |
| Change |
- 5 u - 18 |
- 8 u |
| After |
15 u + 54 |
12 u |
14 x 72 = 18
72 - 18 = 54
Gwen had 75 less buttons than Winnie in the end. So, if Gwen had another 75 buttons in the end, the number of buttons that Gwen and Winnie each had would be the same.
15 u + 54 = 12 u + 75
15 u - 12 u = 75 - 54
3 u = 21
1 u = 21 ÷ 3 = 7
Number of buttons that Winnie had in the end
= 15 u + 54
= 15 x 7 + 54
= 105 + 54
= 159
Answer(s): 159
