At a supermarket, the ratio of plums to oranges was 5 : 12. After Jen bought three-fifths of the oranges, there was a total of 490 plums and oranges left at the supermarket. How many fruits were there at first?
|
Plums |
Oranges |
Total |
Comparing plums and oranges at first |
5x5 = 25 u |
12x5 = 60 u |
85 u |
Before |
|
5x12 = 60 u |
|
Change |
|
- 3x12 = - 36 u |
|
After |
25 u |
2x12 = 24 u |
490 |
The number of oranges at first is repeated. Make the number of oranges at first the same. LCM of 12 and 5 is 60.
Total number of fruits left
= 25 u + 24 u
= 49 u
49 u = 490
1 u = 490 ÷ 49 = 10
Number of fruits at first
= 25 u + 60 u
= 85 u
= 85 x 10
= 850
Answer(s): 850