At a stall, the ratio of dates to mangosteens was 5 : 12. After Sarah bought two-fifths of the mangosteens, there was a total of 671 dates and mangosteens left at the stall. How many fruits were there at first?
| |
Dates |
Mangosteens |
Total |
Comparing dates
and mangosteens at first |
5x5 =
25 u |
12x5 =
60 u |
85 u |
Before |
|
5x12 =
60 u |
|
Change |
|
- 2x12 =
- 24 u |
|
After |
25 u |
3x12 =
36 u |
671 |
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 + 36 u
= 61 u
61 u = 671
1 u = 671 ÷ 61 = 11
Number of fruits at first
= 25 u + 60 u
= 85 u
= 85 x 11
= 935
Answer(s): 935
