The number of dates Caden bought in September was 40% more than in August. In October, he bought 70% less dates than in September. If there were 174 more dates in August than October, how many dates did Caden buy in August?
| August |
September |
October |
| 5x10 |
7x10 |
|
| |
10x7 |
3x7 |
| 50 u |
70 u |
21 u |
100% + 40 = 140%
140% =
140100 =
75September : August = 7 : 5
100% - 70% = 30%
30% =
30100 =
310 October : September = 3 : 10
The number of dates in September is repeated. Make the number of dates in September is the same. LCM of 7 and 10 is 70.
Number of more dates in August than October
= 50 u - 21 u
= 29 u
29 u = 174
1 u = 174 ÷ 29 = 6
Number of dates that Caden bought in August
= 50 u
= 50 x 6
= 300
Answer(s): 300
