Jen had 150 more buttons than Shiyun. After Jen gave away
13 of her buttons and Shiyun gave away
35 of her buttons, Shiyun had 116 less buttons than Jen. How many buttons did Jen have at first?
| |
Jen |
Shiyun |
Comparing Jen and
Shiyun at first |
150 more |
|
| Before |
3x5 |
+ 150 |
5x3 |
| Change |
- 1x5 |
- 50 |
- 3x3 |
| After |
2x5 |
+ 100 |
2x3 |
Comparing Jen and
Shiyun in the end |
|
116 less |
| |
Jen |
Shiyun |
| Before |
15 u + 150 |
15 u |
| Change |
- 5 u - 50 |
- 9 u |
| After |
10 u + 100 |
6 u |
13 x 150 = 50
150 - 50 = 100
Shiyun had 116 less buttons than Jen in the end. So, if Shiyun had another 116 buttons in the end, the number of buttons that Shiyun and Jen each had would be the same.
10 u + 100 = 6 u + 116
10 u - 6 u = 116 - 100
4 u = 16
1 u = 16 ÷ 4 = 4
Number of buttons that Jen had at first
= 15 u + 150
= 15 x 4 + 150
= 60 + 150
= 210
Answer(s): 210
