Cindy had 100 more buttons than Jade. After Cindy gave away
14 of her buttons and Jade gave away
25 of her buttons, Jade had 108 less buttons than Cindy. How many buttons did Cindy have in the end?
| |
Cindy |
Jade |
Comparing Cindy and
Jade in the end |
100 more |
|
| Before |
4x5 |
+ 100 |
5x4 |
| Change |
- 1x5 |
- 25 |
- 2x4 |
| After |
3x5 |
+ 75 |
3x4 |
Comparing Cindy and
Jade in the end |
|
108 less |
| |
Cindy |
Jade |
| Before |
20 u + 100 |
20 u |
| Change |
- 5 u - 25 |
- 8 u |
| After |
15 u + 75 |
12 u |
14 x 100 = 25
100 - 25 = 75
Jade had 108 less buttons than Cindy in the end. So, if Jade had another 108 buttons in the end, the number of buttons that Jade and Cindy each had would be the same.
15 u + 75 = 12 u + 108
15 u - 12 u = 108 - 75
3 u = 33
1 u = 33 ÷ 3 = 11
Number of buttons that Cindy had in the end
= 15 u + 75
= 15 x 11 + 75
= 165 + 75
= 240
Answer(s): 240
