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