At a market, the ratio of mandarin oranges to dragon fruits was 5 : 11. After Xuan bought three-fifths of the dragon fruits, there was a total of 423 mandarin oranges and dragon fruits left at the market. How many fruits were there at first?
| |
Mandarin Oranges |
Dragon Fruits |
Total |
Comparing mandarin oranges
and dragon fruits at first |
5x5 =
25 u |
11x5 =
55 u |
80 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
25 u |
2x11 =
22 u |
423 |
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
= 25 u + 22 u
= 47 u
47 u = 423
1 u = 423 ÷ 47 = 9
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 9
= 720
Answer(s): 720
