At a mart, the ratio of pomegranates to dragon fruits was 6 : 11. After Diana bought three-fifths of the dragon fruits, there was a total of 468 pomegranates and dragon fruits left at the mart. How many fruits were there at first?
| |
Pomegranates |
Dragon Fruits |
Total |
Comparing pomegranates
and dragon fruits at first |
6x5 =
30 u |
11x5 =
55 u |
85 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
30 u |
2x11 =
22 u |
468 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 30 u + 22 u
= 52 u
52 u = 468
1 u = 468 ÷ 52 = 9
Number of fruits at first
= 30 u + 55 u
= 85 u
= 85 x 9
= 765
Answer(s): 765
