Shiyun and Natalie have some croissants each. If Shiyun gives Natalie 18 croissants, Shiyun will have
58 as many croissants as Natalie. If Shiyun gives Natalie 4 croissants, they will have an equal number of croissants. How many croissants does Natalie have at first?
|
Case 1 |
Case 2 |
|
Shiyun |
Natalie |
Shiyun |
Natalie |
Before |
5 u + 18 |
8 u - 18 |
6.5 u + 4 |
6.5 u - 4 |
Change |
- 18 |
+ 18 |
- 4 |
+ 4 |
After |
5 u |
8 u |
6.5 u |
6.5 u |
Total number of croissants that Shiyun and Natalie have
= 5 u + 8 u
= 13 u
Number of croissants that Shiyun and Natalie each has in the end is the same.
Number of croissants that Shiyun and Natalie each has in the end in Case 2
= 13 u ÷ 2
= 6.5 u
Number of croissants that Shiyun had at first is the same in Case 1 and Case 2.
6.5 u + 4 = 5 u + 18
6.5 u - 5 u = 18 - 4
0.5 u = 14
1 u = 14 ÷ 0.5 = 28
Number of croissants that Natalie has
= 8 u - 18
= 8 x 28 - 18
= 224 - 18
= 206
Answer(s): 206