Aunt Rachel made 75 less tarts than croissants. After she gave 0.9 of the tarts and
35 of the croissants to Shiyun, she was left with 54 less tarts than croissants. How many croissants did she make?
|
Tarts |
Croissants |
Comparing tarts and croissants at first |
|
75 more |
Before |
10 u |
5x2 + 75 = 10 u + 75 |
Change |
- 9 u |
- 3x2 - 45 = - 6 u - 45
|
After |
1 u |
2x2 + 30 = 4 u + 30 |
Comparing tarts and croissants in the end |
|
54 more |
0.9 =
910 35 x 75 = 45
Number of croissants that Aunt Rachel gave to Shiyun = 6 u + 45
If Aunt Rachel made another 54 tarts in the end, the number of tarts and croissants in the end would be the same.
4 u + 30 = 1 u + 54
4 u - 1 u = 54 - 30
3 u = 24
1 u = 24 ÷ 3 = 8
Number of croissants that Aunt Rachel made
= 10 u + 75
= 10 x 8 + 75
= 80 + 75
= 155
Answer(s): 155