Robert bought some vanilla and matcha croissants in the ratio of 6 : 5. After Robert's classmates ate an equal number of the two types of croissants, there were 15% fewer matcha than vanilla croissants. In the end, there were 185 croissants left. How many croissants of each type were eaten?
|
Vanilla |
Matcha |
Difference |
Before |
6x3 = 18 u |
5x3 = 15 u |
1x3 = 3 u |
Change |
- -2 u |
- -2 u |
|
After |
20 u |
17 u |
3 u |
100% - 15% = 85%
85% =
85100 =
1720The difference in the number of vanilla and matcha croissants remains unchanged.
LCM of 1 and 3 = 3
Total croissants left = 20 u + 17 u = 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Total number of each type of croissants eaten
= -2 u
= -2 x 5
= -10
Answer(s): -10