Grace bought some vanilla and kaya sandwiches in the ratio of 5 : 4. After Grace's classmates ate an equal number of the two types of sandwiches, there were 40% fewer kaya than vanilla sandwiches. In the end, there were 120 sandwiches left. How many sandwiches of each type were eaten?
| |
Vanilla |
Kaya |
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 vanilla and kaya sandwiches remains unchanged.
LCM of 1 and 2 = 2
Total sandwiches left = 5 u + 3 u = 8 u
8 u = 120
1 u = 120 ÷ 8 = 15
Total number of each type of sandwiches eaten
= 5 u
= 5 x 15
= 75
Answer(s): 75
