The number of mangosteens Daniel bought in August was 40% more than in July. In September, he bought 75% less mangosteens than in August. If there were 104 less mangosteens in September than July, how many mangosteens did Daniel buy in August?
| July |
August |
September |
| 5x4 |
7x4 |
|
| |
4x7 |
1x7 |
| 20 u |
28 u |
7 u |
100% + 40 = 140%
140% =
140100 =
75August : July = 7 : 5
100% - 75% = 25%
25% =
25100 =
14 September : August = 1 : 4
The number of mangosteens in August is repeated. Make the number of mangosteens in August is the same. LCM of 7 and 4 is 28.
Number of less mangosteens in September than July
= 20 u - 7 u
= 13 u
13 u = 104
1 u = 104 ÷ 13 = 8
Number of mangosteens that Daniel bought in August
= 28 u
= 28 x 8
= 224
Answer(s): 224
