At a stall, the ratio of dragon fruits to pomegranates was 2 : 9. After Pamela bought four-fifths of the pomegranates, there was a total of 209 dragon fruits and pomegranates left at the stall. How many fruits were there at first?
| |
Dragon Fruits |
Pomegranates |
Total |
Comparing dragon fruits
and pomegranates at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 4x9 =
- 36 u |
|
After |
10 u |
1x9 =
9 u |
209 |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 9 u
= 19 u
19 u = 209
1 u = 209 ÷ 19 = 11
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 11
= 605
Answer(s): 605
