Bryan bought some chocolate and custard buns in the ratio of 7 : 6. After Bryan's classmates ate an equal number of the two types of buns, there were 40% fewer custard than chocolate buns. In the end, there were 152 buns left. How many buns of each type were eaten?
|
Chocolate |
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 chocolate and custard buns remains unchanged.
LCM of 1 and 2 = 2
Total buns left = 5 u + 3 u = 8 u
8 u = 152
1 u = 152 ÷ 8 = 19
Total number of each type of buns eaten
= 9 u
= 9 x 19
= 171
Answer(s): 171