Joshua bought some vanilla and matcha puffs in the ratio of 7 : 6. After Joshua's classmates ate an equal number of the two types of puffs, there were 15% fewer matcha than vanilla puffs. In the end, there were 148 puffs left. How many puffs of each type were eaten?
| |
Vanilla |
Matcha |
Difference |
| Before |
7x3 =
21 u |
6x3 =
18 u |
1x3 =
3 u |
| Change |
- 1 u |
- 1 u |
|
| After |
20 u |
17 u |
3 u |
100% - 15% = 85%
85% =
85100 =
1720The difference in the number of vanilla and matcha puffs remains unchanged.
LCM of 1 and 3 = 3
Total puffs left = 20 u + 17 u = 37 u
37 u = 148
1 u = 148 ÷ 37 = 4
Total number of each type of puffs eaten
= 1 u
= 1 x 4
= 4
Answer(s): 4
