Luke bought some custard and matcha muffins in the ratio of 6 : 5. After Luke's classmates ate an equal number of the two types of muffins, there were 40% fewer matcha than custard muffins. In the end, there were 136 muffins left. How many muffins of each type were eaten?
| |
Custard |
Matcha |
Difference |
| Before |
6x2 =
12 u |
5x2 =
10 u |
1x2 =
2 u |
| Change |
- 7 u |
- 7 u |
|
| After |
5 u |
3 u |
2 u |
100% - 40% = 60%
60% =
60100 =
35The difference in the number of custard and matcha muffins remains unchanged.
LCM of 1 and 2 = 2
Total muffins left = 5 u + 3 u = 8 u
8 u = 136
1 u = 136 ÷ 8 = 17
Total number of each type of muffins eaten
= 7 u
= 7 x 17
= 119
Answer(s): 119
