Audrey bought some kaya and vanilla buns in the ratio of 6 : 5. After Audrey's classmates ate an equal number of the two types of buns, there were 30% fewer vanilla than kaya buns. In the end, there were 170 buns left. How many buns of each type were eaten?
|
Kaya |
Vanilla |
Difference |
Before |
6x3 = 18 u |
5x3 = 15 u |
1x3 = 3 u |
Change |
- 8 u |
- 8 u |
|
After |
10 u |
7 u |
3 u |
100% - 30% = 70%
70% =
70100 =
710The difference in the number of kaya and vanilla buns remains unchanged.
LCM of 1 and 3 = 3
Total buns left = 10 u + 7 u = 17 u
17 u = 170
1 u = 170 ÷ 17 = 10
Total number of each type of buns eaten
= 8 u
= 8 x 10
= 80
Answer(s): 80