At a supermarket, the ratio of dragon fruits to plums was 5 : 9. After Marion bought two-fifths of the plums, there was a total of 468 dragon fruits and plums left at the supermarket. How many fruits were there at first?
| |
Dragon Fruits |
Plums |
Total |
Comparing dragon fruits
and plums at first |
5x5 =
25 u |
9x5 =
45 u |
70 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
25 u |
3x9 =
27 u |
468 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 25 u + 27 u
= 52 u
52 u = 468
1 u = 468 ÷ 52 = 9
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 9
= 630
Answer(s): 630
