At a supermarket, the ratio of apricots to pomegranates was 4 : 9. After Cindy bought four-fifths of the pomegranates, there was a total of 87 apricots and pomegranates left at the supermarket. How many fruits were there at first?
| |
Apricots |
Pomegranates |
Total |
Comparing apricots
and pomegranates at first |
4x5 =
20 u |
9x5 =
45 u |
65 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 4x9 =
- 36 u |
|
After |
20 u |
1x9 =
9 u |
87 |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 20 u + 9 u
= 29 u
29 u = 87
1 u = 87 ÷ 29 = 3
Number of fruits at first
= 20 u + 45 u
= 65 u
= 65 x 3
= 195
Answer(s): 195
