The number of dragon fruits Archie bought in July was 30% more than in June. In August, he bought 60% less dragon fruits than in July. If there were 216 more dragon fruits in June than August, how many dragon fruits did Archie buy in June?
| June |
July |
August |
| 10x5 |
13x5 |
|
| |
5x13 |
2x13 |
| 50 u |
65 u |
26 u |
100% + 30 = 130%
130% =
130100 =
1310July : June = 13 : 10
100% - 60% = 40%
40% =
40100 =
25 August : July = 2 : 5
The number of dragon fruits in July is repeated. Make the number of dragon fruits in July is the same. LCM of 13 and 5 is 65.
Number of more dragon fruits in June than August
= 50 u - 26 u
= 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
Number of dragon fruits that Archie bought in June
= 50 u
= 50 x 9
= 450
Answer(s): 450
