Avery bought some matcha and custard muffins in the ratio of 7 : 6. After Avery's classmates ate an equal number of the two types of muffins, there were 35% fewer custard than matcha muffins. In the end, there were 165 muffins left. How many muffins of each type were eaten?
|
Matcha |
Custard |
Difference |
Before |
7x7 = 49 u |
6x7 = 42 u |
1x7 = 7 u |
Change |
- 29 u |
- 29 u |
|
After |
20 u |
13 u |
7 u |
100% - 35% = 65%
65% =
65100 =
1320The difference in the number of matcha and custard muffins remains unchanged.
LCM of 1 and 7 = 7
Total muffins left = 20 u + 13 u = 33 u
33 u = 165
1 u = 165 ÷ 33 = 5
Total number of each type of muffins eaten
= 29 u
= 29 x 5
= 145
Answer(s): 145