At a supermarket, the ratio of mangosteens to pomegranates was 5 : 12. After Marion bought three-quarters of the pomegranates, there was a total of 88 mangosteens and pomegranates left at the supermarket. How many fruits were there at first?
|
Mangosteens |
Pomegranates |
Total |
Comparing mangosteens and pomegranates at first |
5x1 = 5 u |
12x1 = 12 u |
17 u |
Before |
|
4x3 = 12 u |
|
Change |
|
- 3x3 = - 9 u |
|
After |
5 u |
1x3 = 3 u |
88 |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 12 and 4 is 12.
Total number of fruits left
= 5 u + 3 u
= 8 u
8 u = 88
1 u = 88 ÷ 8 = 11
Number of fruits at first
= 5 u + 12 u
= 17 u
= 17 x 11
= 187
Answer(s): 187