At a market, the ratio of mandarin oranges to papayas was 5 : 12. After Cathy bought three-quarters of the papayas, there was a total of 64 mandarin oranges and papayas left at the market. How many fruits were there at first?
| |
Mandarin Oranges |
Papayas |
Total |
Comparing mandarin oranges
and papayas at first |
5x1 =
5 u |
12x1 =
12 u |
17 u |
Before |
|
4x3 =
12 u |
|
Change |
|
- 3x3 =
- 9 u |
|
After |
5 u |
1x3 =
3 u |
64 |
The number of papayas at first is repeated. Make the number of papayas at first the same. LCM of 12 and 4 is 12.
Total number of fruits left
= 5 u + 3 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Number of fruits at first
= 5 u + 12 u
= 17 u
= 17 x 8
= 136
Answer(s): 136
