Natalie bought some kaya and matcha buns in the ratio of 8 : 7. After Natalie's classmates ate an equal number of the two types of buns, there were 35% fewer matcha than kaya buns. In the end, there were 165 buns left. How many buns of each type were eaten?
| |
Kaya |
Matcha |
Difference |
| Before |
8x7 =
56 u |
7x7 =
49 u |
1x7 =
7 u |
| Change |
- 36 u |
- 36 u |
|
| After |
20 u |
13 u |
7 u |
100% - 35% = 65%
65% =
65100 =
1320The difference in the number of kaya and matcha buns remains unchanged.
LCM of 1 and 7 = 7
Total buns left = 20 u + 13 u = 33 u
33 u = 165
1 u = 165 ÷ 33 = 5
Total number of each type of buns eaten
= 36 u
= 36 x 5
= 180
Answer(s): 180
