Charlotte bought some matcha and vanilla croissants in the ratio of 5 : 4. After Charlotte's classmates ate an equal number of the two types of croissants, there were 30% fewer vanilla than matcha croissants. In the end, there were 170 croissants left. How many croissants of each type were eaten?
|
Matcha |
Vanilla |
Difference |
Before |
5x3 = 15 u |
4x3 = 12 u |
1x3 = 3 u |
Change |
- 5 u |
- 5 u |
|
After |
10 u |
7 u |
3 u |
100% - 30% = 70%
70% =
70100 =
710The difference in the number of matcha and vanilla croissants remains unchanged.
LCM of 1 and 3 = 3
Total croissants left = 10 u + 7 u = 17 u
17 u = 170
1 u = 170 ÷ 17 = 10
Total number of each type of croissants eaten
= 5 u
= 5 x 10
= 50
Answer(s): 50