Wendy had 120 more buttons than Cindy. After Wendy gave away
14 of her buttons and Cindy gave away
23 of her buttons, Cindy had 110 less buttons than Wendy. How many buttons did Wendy have in the end?
| |
Wendy |
Cindy |
Comparing Wendy and
Cindy in the end |
120 more |
|
| Before |
4x3 |
+ 120 |
3x4 |
| Change |
- 1x3 |
- 30 |
- 2x4 |
| After |
3x3 |
+ 90 |
1x4 |
Comparing Wendy and
Cindy in the end |
|
110 less |
| |
Wendy |
Cindy |
| Before |
12 u + 120 |
12 u |
| Change |
- 3 u - 30 |
- 8 u |
| After |
9 u + 90 |
4 u |
14 x 120 = 30
120 - 30 = 90
Cindy had 110 less buttons than Wendy in the end. So, if Cindy had another 110 buttons in the end, the number of buttons that Cindy and Wendy each had would be the same.
9 u + 90 = 4 u + 110
9 u - 4 u = 110 - 90
5 u = 20
1 u = 20 ÷ 5 = 4
Number of buttons that Wendy had in the end
= 9 u + 90
= 9 x 4 + 90
= 36 + 90
= 126
Answer(s): 126
