Sophia bought some kaya and custard croissants in the ratio of 7 : 6. After Sophia's classmates ate an equal number of the two types of croissants, there were 40% fewer custard than kaya croissants. In the end, there were 120 croissants left. How many croissants of each type were eaten?
| |
Kaya |
Custard |
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 kaya and custard croissants remains unchanged.
LCM of 1 and 2 = 2
Total croissants left = 5 u + 3 u = 8 u
8 u = 120
1 u = 120 ÷ 8 = 15
Total number of each type of croissants eaten
= 9 u
= 9 x 15
= 135
Answer(s): 135
