Ellie bought some kaya and custard sandwiches in the ratio of 5 : 4. After Ellie's classmates ate an equal number of the two types of sandwiches, there were 35% fewer custard than kaya sandwiches. In the end, there were 132 sandwiches left. How many sandwiches of each type were eaten?
| |
Kaya |
Custard |
Difference |
| Before |
5x7 =
35 u |
4x7 =
28 u |
1x7 =
7 u |
| Change |
- 15 u |
- 15 u |
|
| After |
20 u |
13 u |
7 u |
100% - 35% = 65%
65% =
65100 =
1320The difference in the number of kaya and custard sandwiches remains unchanged.
LCM of 1 and 7 = 7
Total sandwiches left = 20 u + 13 u = 33 u
33 u = 132
1 u = 132 ÷ 33 = 4
Total number of each type of sandwiches eaten
= 15 u
= 15 x 4
= 60
Answer(s): 60
