Nora bought some custard and matcha buns in the ratio of 8 : 7. After Nora's classmates ate an equal number of the two types of buns, there were 40% fewer matcha than custard buns. In the end, there were 160 buns left. How many buns of each type were eaten?
|
Custard |
Matcha |
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 matcha buns remains unchanged.
LCM of 1 and 2 = 2
Total buns left = 5 u + 3 u = 8 u
8 u = 160
1 u = 160 ÷ 8 = 20
Total number of each type of buns eaten
= 11 u
= 11 x 20
= 220
Answer(s): 220