At a mart, the ratio of mangosteens to dates was 7 : 12. After Cindy bought three-fifths of the dates, there was a total of 354 mangosteens and dates left at the mart. How many fruits were there at first?
|
Mangosteens |
Dates |
Total |
Comparing mangosteens and dates at first |
7x5 = 35 u |
12x5 = 60 u |
95 u |
Before |
|
5x12 = 60 u |
|
Change |
|
- 3x12 = - 36 u |
|
After |
35 u |
2x12 = 24 u |
354 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 12 and 5 is 60.
Total number of fruits left
= 35 u + 24 u
= 59 u
59 u = 354
1 u = 354 ÷ 59 = 6
Number of fruits at first
= 35 u + 60 u
= 95 u
= 95 x 6
= 570
Answer(s): 570