Harris bought some custard and chocolate sandwiches in the ratio of 5 : 4. After Harris's classmates ate an equal number of the two types of sandwiches, there were 40% fewer chocolate than custard sandwiches. In the end, there were 136 sandwiches left. How many sandwiches of each type were eaten?
|
Custard |
Chocolate |
Difference |
Before |
5x2 = 10 u |
4x2 = 8 u |
1x2 = 2 u |
Change |
- 5 u |
- 5 u |
|
After |
5 u |
3 u |
2 u |
100% - 40% = 60%
60% =
60100 =
35The difference in the number of custard and chocolate sandwiches remains unchanged.
LCM of 1 and 2 = 2
Total sandwiches left = 5 u + 3 u = 8 u
8 u = 136
1 u = 136 ÷ 8 = 17
Total number of each type of sandwiches eaten
= 5 u
= 5 x 17
= 85
Answer(s): 85