Michael bought some chocolate and kaya muffins in the ratio of 7 : 6. After Michael's classmates ate an equal number of the two types of muffins, there were 40% fewer kaya than chocolate muffins. In the end, there were 144 muffins left. How many muffins of each type were eaten?
| |
Chocolate |
Kaya |
Difference |
| Before |
7x2 =
14 u |
6x2 =
12 u |
1x2 =
2 u |
| Change |
- 9 u |
- 9 u |
|
| After |
5 u |
3 u |
2 u |
100% - 40% = 60%
60% =
60100 =
35The difference in the number of chocolate and kaya muffins remains unchanged.
LCM of 1 and 2 = 2
Total muffins left = 5 u + 3 u = 8 u
8 u = 144
1 u = 144 ÷ 8 = 18
Total number of each type of muffins eaten
= 9 u
= 9 x 18
= 162
Answer(s): 162
