Robert bought some vanilla and matcha puffs in the ratio of 7 : 6. After Robert's classmates ate an equal number of the two types of puffs, there were 30% fewer matcha than vanilla puffs. In the end, there were 187 puffs left. How many puffs of each type were eaten?
|
Vanilla |
Matcha |
Difference |
Before |
7x3 = 21 u |
6x3 = 18 u |
1x3 = 3 u |
Change |
- 11 u |
- 11 u |
|
After |
10 u |
7 u |
3 u |
100% - 30% = 70%
70% =
70100 =
710The difference in the number of vanilla and matcha puffs remains unchanged.
LCM of 1 and 3 = 3
Total puffs left = 10 u + 7 u = 17 u
17 u = 187
1 u = 187 ÷ 17 = 11
Total number of each type of puffs eaten
= 11 u
= 11 x 11
= 121
Answer(s): 121