Avery bought some matcha and chocolate puffs in the ratio of 6 : 5. After Avery's classmates ate an equal number of the two types of puffs, there were 30% fewer chocolate than matcha puffs. In the end, there were 153 puffs left. How many puffs of each type were eaten?
|
Matcha |
Chocolate |
Difference |
Before |
6x3 = 18 u |
5x3 = 15 u |
1x3 = 3 u |
Change |
- 8 u |
- 8 u |
|
After |
10 u |
7 u |
3 u |
100% - 30% = 70%
70% =
70100 =
710The difference in the number of matcha and chocolate puffs remains unchanged.
LCM of 1 and 3 = 3
Total puffs left = 10 u + 7 u = 17 u
17 u = 153
1 u = 153 ÷ 17 = 9
Total number of each type of puffs eaten
= 8 u
= 8 x 9
= 72
Answer(s): 72