Matthew bought some vanilla and kaya muffins in the ratio of 8 : 7. After Matthew's classmates ate an equal number of the two types of muffins, there were 15% fewer kaya than vanilla muffins. In the end, there were 185 muffins left. How many muffins of each type were eaten?
| |
Vanilla |
Kaya |
Difference |
| Before |
8x3 =
24 u |
7x3 =
21 u |
1x3 =
3 u |
| Change |
- 4 u |
- 4 u |
|
| After |
20 u |
17 u |
3 u |
100% - 15% = 85%
85% =
85100 =
1720The difference in the number of vanilla and kaya muffins remains unchanged.
LCM of 1 and 3 = 3
Total muffins left = 20 u + 17 u = 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Total number of each type of muffins eaten
= 4 u
= 4 x 5
= 20
Answer(s): 20
