Alexander bought some chocolate and kaya puffs in the ratio of 8 : 7. After Alexander's classmates ate an equal number of the two types of puffs, there were 15% fewer kaya than chocolate puffs. In the end, there were 185 puffs left. How many puffs of each type were eaten?
| |
Chocolate |
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 chocolate and kaya puffs remains unchanged.
LCM of 1 and 3 = 3
Total puffs left = 20 u + 17 u = 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Total number of each type of puffs eaten
= 4 u
= 4 x 5
= 20
Answer(s): 20
