Ethan bought some vanilla and custard sandwiches in the ratio of 6 : 5. After Ethan's classmates ate an equal number of the two types of sandwiches, there were 30% fewer custard than vanilla sandwiches. In the end, there were 153 sandwiches left. How many sandwiches of each type were eaten?
| |
Vanilla |
Custard |
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 vanilla and custard sandwiches remains unchanged.
LCM of 1 and 3 = 3
Total sandwiches left = 10 u + 7 u = 17 u
17 u = 153
1 u = 153 ÷ 17 = 9
Total number of each type of sandwiches eaten
= 8 u
= 8 x 9
= 72
Answer(s): 72
