Noah bought some chocolate and kaya sandwiches in the ratio of 6 : 5. After Noah's classmates ate an equal number of the two types of sandwiches, there were 35% fewer kaya than chocolate sandwiches. In the end, there were 165 sandwiches left. How many sandwiches of each type were eaten?
| |
Chocolate |
Kaya |
Difference |
| Before |
6x7 =
42 u |
5x7 =
35 u |
1x7 =
7 u |
| Change |
- 22 u |
- 22 u |
|
| After |
20 u |
13 u |
7 u |
100% - 35% = 65%
65% =
65100 =
1320The difference in the number of chocolate and kaya sandwiches remains unchanged.
LCM of 1 and 7 = 7
Total sandwiches left = 20 u + 13 u = 33 u
33 u = 165
1 u = 165 ÷ 33 = 5
Total number of each type of sandwiches eaten
= 22 u
= 22 x 5
= 110
Answer(s): 110
