Cindy had 125 more buttons than Lynn. After Cindy gave away
25 of her buttons and Lynn gave away
34 of her buttons, Lynn had 152 less buttons than Cindy. How many buttons did Cindy have in the end?
| |
Cindy |
Lynn |
Comparing Cindy and
Lynn in the end |
125 more |
|
| Before |
5x4 |
+ 125 |
4x5 |
| Change |
- 2x4 |
- 50 |
- 3x5 |
| After |
3x4 |
+ 75 |
1x5 |
Comparing Cindy and
Lynn in the end |
|
152 less |
| |
Cindy |
Lynn |
| Before |
20 u + 125 |
20 u |
| Change |
- 8 u - 50 |
- 15 u |
| After |
12 u + 75 |
5 u |
25 x 125 = 50
125 - 50 = 75
Lynn had 152 less buttons than Cindy in the end. So, if Lynn had another 152 buttons in the end, the number of buttons that Lynn and Cindy each had would be the same.
12 u + 75 = 5 u + 152
12 u - 5 u = 152 - 75
7 u = 77
1 u = 77 ÷ 7 = 11
Number of buttons that Cindy had in the end
= 12 u + 75
= 12 x 11 + 75
= 132 + 75
= 207
Answer(s): 207
