Matthew bought some chocolate and vanilla sandwiches in the ratio of 8 : 7. After Matthew's classmates ate an equal number of the two types of sandwiches, there were 30% fewer vanilla than chocolate sandwiches. In the end, there were 187 sandwiches left. How many sandwiches of each type were eaten?
| |
Chocolate |
Vanilla |
Difference |
| Before |
8x3 =
24 u |
7x3 =
21 u |
1x3 =
3 u |
| Change |
- 14 u |
- 14 u |
|
| After |
10 u |
7 u |
3 u |
100% - 30% = 70%
70% =
70100 =
710The difference in the number of chocolate and vanilla sandwiches remains unchanged.
LCM of 1 and 3 = 3
Total sandwiches left = 10 u + 7 u = 17 u
17 u = 187
1 u = 187 ÷ 17 = 11
Total number of each type of sandwiches eaten
= 14 u
= 14 x 11
= 154
Answer(s): 154
