The number of mangosteens Ben bought in September was 40% more than in August. In October, he bought 60% less mangosteens than in September. If there were 99 more mangosteens in August than October, how many mangosteens did Ben buy in August?
| August |
September |
October |
| 5x5 |
7x5 |
|
| |
5x7 |
2x7 |
| 25 u |
35 u |
14 u |
100% + 40 = 140%
140% =
140100 =
75September : August = 7 : 5
100% - 60% = 40%
40% =
40100 =
25 October : September = 2 : 5
The number of mangosteens in September is repeated. Make the number of mangosteens in September is the same. LCM of 7 and 5 is 35.
Number of more mangosteens in August than October
= 25 u - 14 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Number of mangosteens that Ben bought in August
= 25 u
= 25 x 9
= 225
Answer(s): 225
