Sebastian bought some custard and kaya muffins in the ratio of 8 : 7. After Sebastian's classmates ate an equal number of the two types of muffins, there were 40% fewer kaya than custard muffins. In the end, there were 144 muffins left. How many muffins of each type were eaten?
|
Custard |
Kaya |
Difference |
Before |
8x2 = 16 u |
7x2 = 14 u |
1x2 = 2 u |
Change |
- 11 u |
- 11 u |
|
After |
5 u |
3 u |
2 u |
100% - 40% = 60%
60% =
60100 =
35The difference in the number of custard and kaya muffins remains unchanged.
LCM of 1 and 2 = 2
Total muffins left = 5 u + 3 u = 8 u
8 u = 144
1 u = 144 ÷ 8 = 18
Total number of each type of muffins eaten
= 11 u
= 11 x 18
= 198
Answer(s): 198