Elizabeth bought some custard and vanilla croissants in the ratio of 7 : 6. After Elizabeth's classmates ate an equal number of the two types of croissants, there were 40% fewer vanilla than custard croissants. In the end, there were 184 croissants left. How many croissants of each type were eaten?
|
Custard |
Vanilla |
Difference |
Before |
7x2 = 14 u |
6x2 = 12 u |
1x2 = 2 u |
Change |
- 9 u |
- 9 u |
|
After |
5 u |
3 u |
2 u |
100% - 40% = 60%
60% =
60100 =
35The difference in the number of custard and vanilla croissants remains unchanged.
LCM of 1 and 2 = 2
Total croissants left = 5 u + 3 u = 8 u
8 u = 184
1 u = 184 ÷ 8 = 23
Total number of each type of croissants eaten
= 9 u
= 9 x 23
= 207
Answer(s): 207