At a supermarket, the ratio of pomegranates to apricots was 2 : 9. After Hazel bought three-quarters of the apricots, there was a total of 136 pomegranates and apricots left at the supermarket. How many fruits were there at first?
|
Pomegranates |
Apricots |
Total |
Comparing pomegranates and apricots at first |
2x4 = 8 u |
9x4 = 36 u |
44 u |
Before |
|
4x9 = 36 u |
|
Change |
|
- 3x9 = - 27 u |
|
After |
8 u |
1x9 = 9 u |
136 |
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
= 8 u + 9 u
= 17 u
17 u = 136
1 u = 136 ÷ 17 = 8
Number of fruits at first
= 8 u + 36 u
= 44 u
= 44 x 8
= 352
Answer(s): 352