Xuan had 35 more buttons than Jade. After Xuan gave away
15 of her buttons and Jade gave away
13 of her buttons, Jade had 42 less buttons than Xuan. How many buttons did Xuan have in the end?
| |
Xuan |
Jade |
Comparing Xuan and
Jade in the end |
35 more |
|
| Before |
5x3 |
+ 35 |
3x5 |
| Change |
- 1x3 |
- 7 |
- 1x5 |
| After |
4x3 |
+ 28 |
2x5 |
Comparing Xuan and
Jade in the end |
|
42 less |
| |
Xuan |
Jade |
| Before |
15 u + 35 |
15 u |
| Change |
- 3 u - 7 |
- 5 u |
| After |
12 u + 28 |
10 u |
15 x 35 = 7
35 - 7 = 28
Jade had 42 less buttons than Xuan in the end. So, if Jade had another 42 buttons in the end, the number of buttons that Jade and Xuan each had would be the same.
12 u + 28 = 10 u + 42
12 u - 10 u = 42 - 28
2 u = 14
1 u = 14 ÷ 2 = 7
Number of buttons that Xuan had in the end
= 12 u + 28
= 12 x 7 + 28
= 84 + 28
= 112
Answer(s): 112
