Raeann bought some matcha and chocolate puffs in the ratio of 5 : 4. After Raeann's classmates ate an equal number of the two types of puffs, there were 40% fewer chocolate than matcha puffs. In the end, there were 152 puffs left. How many puffs of each type were eaten?
|
Matcha |
Chocolate |
Difference |
Before |
5x2 = 10 u |
4x2 = 8 u |
1x2 = 2 u |
Change |
- 5 u |
- 5 u |
|
After |
5 u |
3 u |
2 u |
100% - 40% = 60%
60% =
60100 =
35The difference in the number of matcha and chocolate puffs remains unchanged.
LCM of 1 and 2 = 2
Total puffs left = 5 u + 3 u = 8 u
8 u = 152
1 u = 152 ÷ 8 = 19
Total number of each type of puffs eaten
= 5 u
= 5 x 19
= 95
Answer(s): 95