Charlotte bought some kaya and chocolate sandwiches in the ratio of 5 : 4. After Charlotte's classmates ate an equal number of the two types of sandwiches, there were 15% fewer chocolate than kaya sandwiches. In the end, there were 148 sandwiches left. How many sandwiches of each type were eaten?
| |
Kaya |
Chocolate |
Difference |
| Before |
5x3 =
15 u |
4x3 =
12 u |
1x3 =
3 u |
| Change |
- -5 u |
- -5 u |
|
| After |
20 u |
17 u |
3 u |
100% - 15% = 85%
85% =
85100 =
1720The difference in the number of kaya and chocolate sandwiches remains unchanged.
LCM of 1 and 3 = 3
Total sandwiches left = 20 u + 17 u = 37 u
37 u = 148
1 u = 148 ÷ 37 = 4
Total number of each type of sandwiches eaten
= -5 u
= -5 x 4
= -20
Answer(s): -20
