Jack bought some chocolate and matcha sandwiches in the ratio of 7 : 6. After Jack's classmates ate an equal number of the two types of sandwiches, there were 40% fewer matcha than chocolate sandwiches. In the end, there were 152 sandwiches left. How many sandwiches of each type were eaten?
| |
Chocolate |
Matcha |
Difference |
| Before |
7x2 =
14 u |
6x2 =
12 u |
1x2 =
2 u |
| Change |
- 9 u |
- 9 u |
|
| After |
5 u |
3 u |
2 u |
100% - 40% = 60%
60% =
60100 =
35The difference in the number of chocolate and matcha sandwiches remains unchanged.
LCM of 1 and 2 = 2
Total sandwiches left = 5 u + 3 u = 8 u
8 u = 152
1 u = 152 ÷ 8 = 19
Total number of each type of sandwiches eaten
= 9 u
= 9 x 19
= 171
Answer(s): 171
