Isabella bought some chocolate and custard muffins in the ratio of 7 : 6. After Isabella's classmates ate an equal number of the two types of muffins, there were 35% fewer custard than chocolate muffins. In the end, there were 165 muffins left. How many muffins of each type were eaten?
| |
Chocolate |
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 chocolate 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
