At a supermarket, the ratio of lemons to mangosteens was 7 : 9. After Tiffany bought four-fifths of the mangosteens, there was a total of 132 lemons and mangosteens left at the supermarket. How many fruits were there at first?
|
Lemons |
Mangosteens |
Total |
Comparing lemons and mangosteens at first |
7x5 = 35 u |
9x5 = 45 u |
80 u |
Before |
|
5x9 = 45 u |
|
Change |
|
- 4x9 = - 36 u |
|
After |
35 u |
1x9 = 9 u |
132 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 35 u + 9 u
= 44 u
44 u = 132
1 u = 132 ÷ 44 = 3
Number of fruits at first
= 35 u + 45 u
= 80 u
= 80 x 3
= 240
Answer(s): 240