Sam had pomegranates and passion fruits. The ratio of pomegranates to passion fruits was 4 : 3. After
45 of the pomegranates and 70 passion fruits were sold, there were 4 times as many pomegranates as passion fruits left. How many pomegranates and passion fruits were there at first?
|
Pomegranates |
Passion Fruits |
Comparing pomegranates and passion fruits at first |
4x5 = 20 u |
3x5 = 15 u |
Before |
5x4 = 20 u |
|
Change |
- 4x4 = - 16 u |
- 70 |
After |
1x4 = 4 u |
|
Comparing pomegranates and passion fruits in the end |
4 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 4 and 5 is 20.
Number of passion fruits sold
= 15 u - 1 u
= 14 u
14 u = 70
1 u = 70 ÷ 14 = 5
Number of pomegranates and passion fruits at first
= 20 u + 15 u
= 35 u
= 35 x 5
= 175
Answer(s): 175