At a shop, the ratio of papayas to mangosteens was 9 : 10. After Diana bought three-quarters of the mangosteens, there was a total of 138 papayas and mangosteens left at the shop. How many fruits were there at first?
| |
Papayas |
Mangosteens |
Total |
Comparing papayas
and mangosteens at first |
9x2 =
18 u |
10x2 =
20 u |
38 u |
Before |
|
4x5 =
20 u |
|
Change |
|
- 3x5 =
- 15 u |
|
After |
18 u |
1x5 =
5 u |
138 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 10 and 4 is 20.
Total number of fruits left
= 18 u + 5 u
= 23 u
23 u = 138
1 u = 138 ÷ 23 = 6
Number of fruits at first
= 18 u + 20 u
= 38 u
= 38 x 6
= 228
Answer(s): 228
