Sarah and Shiyun have some macarons each. If Sarah gives Shiyun 33 macarons, Sarah will have
12 as many macarons as Shiyun. If Sarah gives Shiyun 4 macarons, they will have an equal number of macarons. How many macarons does Shiyun have at first?
|
Case 1 |
Case 2 |
|
Sarah |
Shiyun |
Sarah |
Shiyun |
Before |
1 u + 33 |
2 u - 33 |
1.5 u + 4 |
1.5 u - 4 |
Change |
- 33 |
+ 33 |
- 4 |
+ 4 |
After |
1 u |
2 u |
1.5 u |
1.5 u |
Total number of macarons that Sarah and Shiyun have
= 1 u + 2 u
= 3 u
Number of macarons that Sarah and Shiyun each has in the end is the same.
Number of macarons that Sarah and Shiyun each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u
Number of macarons that Sarah had at first is the same in Case 1 and Case 2.
1.5 u + 4 = 1 u + 33
1.5 u - 1 u = 33 - 4
0.5 u = 29
1 u = 29 ÷ 0.5 = 58
Number of macarons that Shiyun has
= 2 u - 33
= 2 x 58 - 33
= 116 - 33
= 83
Answer(s): 83