Dylan bought some matcha and chocolate puffs in the ratio of 5 : 4. After Dylan's classmates ate an equal number of the two types of puffs, there were 35% fewer chocolate than matcha puffs. In the end, there were 132 puffs left. How many puffs of each type were eaten?
|
Matcha |
Chocolate |
Difference |
Before |
5x7 = 35 u |
4x7 = 28 u |
1x7 = 7 u |
Change |
- 15 u |
- 15 u |
|
After |
20 u |
13 u |
7 u |
100% - 35% = 65%
65% =
65100 =
1320The difference in the number of matcha and chocolate puffs remains unchanged.
LCM of 1 and 7 = 7
Total puffs left = 20 u + 13 u = 33 u
33 u = 132
1 u = 132 ÷ 33 = 4
Total number of each type of puffs eaten
= 15 u
= 15 x 4
= 60
Answer(s): 60