Lucy bought some custard and kaya buns in the ratio of 8 : 7. After Lucy's classmates ate an equal number of the two types of buns, there were 15% fewer kaya than custard buns. In the end, there were 185 buns left. How many buns of each type were eaten?
|
Custard |
Kaya |
Difference |
Before |
8x3 = 24 u |
7x3 = 21 u |
1x3 = 3 u |
Change |
- 4 u |
- 4 u |
|
After |
20 u |
17 u |
3 u |
100% - 15% = 85%
85% =
85100 =
1720The difference in the number of custard and kaya buns remains unchanged.
LCM of 1 and 3 = 3
Total buns left = 20 u + 17 u = 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Total number of each type of buns eaten
= 4 u
= 4 x 5
= 20
Answer(s): 20