At a supermarket, the ratio of papayas to apricots was 4 : 9. After Tammy bought three-quarters of the apricots, there was a total of 200 papayas and apricots left at the supermarket. How many fruits were there at first?
|
Papayas |
Apricots |
Total |
Comparing papayas and apricots at first |
4x4 = 16 u |
9x4 = 36 u |
52 u |
Before |
|
4x9 = 36 u |
|
Change |
|
- 3x9 = - 27 u |
|
After |
16 u |
1x9 = 9 u |
200 |
The number of apricots at first is repeated. Make the number of apricots at first the same. LCM of 9 and 4 is 36.
Total number of fruits left
= 16 u + 9 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
Number of fruits at first
= 16 u + 36 u
= 52 u
= 52 x 8
= 416
Answer(s): 416