At a market, the ratio of plums to mangosteens was 5 : 12. After Risa bought three-fifths of the mangosteens, there was a total of 147 plums and mangosteens left at the market. How many fruits were there at first?
| |
Plums |
Mangosteens |
Total |
Comparing plums
and mangosteens at first |
5x5 =
25 u |
12x5 =
60 u |
85 u |
Before |
|
5x12 =
60 u |
|
Change |
|
- 3x12 =
- 36 u |
|
After |
25 u |
2x12 =
24 u |
147 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 12 and 5 is 60.
Total number of fruits left
= 25 u + 24 u
= 49 u
49 u = 147
1 u = 147 ÷ 49 = 3
Number of fruits at first
= 25 u + 60 u
= 85 u
= 85 x 3
= 255
Answer(s): 255
