At a supermarket, the ratio of limes to mangosteens was 3 : 10. After Shannon bought two-thirds of the mangosteens, there was a total of 228 limes and mangosteens left at the supermarket. How many fruits were there at first?
|
Limes |
Mangosteens |
Total |
Comparing limes and mangosteens at first |
3x3 = 9 u |
10x3 = 30 u |
39 u |
Before |
|
3x10 = 30 u |
|
Change |
|
- 2x10 = - 20 u |
|
After |
9 u |
1x10 = 10 u |
228 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 10 and 3 is 30.
Total number of fruits left
= 9 u + 10 u
= 19 u
19 u = 228
1 u = 228 ÷ 19 = 12
Number of fruits at first
= 9 u + 30 u
= 39 u
= 39 x 12
= 468
Answer(s): 468