Matthew bought some matcha and kaya muffins in the ratio of 7 : 6. After Matthew's classmates ate an equal number of the two types of muffins, there were 40% fewer kaya than matcha muffins. In the end, there were 120 muffins left. How many muffins of each type were eaten?
|
Matcha |
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 matcha and kaya muffins remains unchanged.
LCM of 1 and 2 = 2
Total muffins left = 5 u + 3 u = 8 u
8 u = 120
1 u = 120 ÷ 8 = 15
Total number of each type of muffins eaten
= 9 u
= 9 x 15
= 135
Answer(s): 135