A fruit seller had pomegranates and passion fruits. The ratio of pomegranates to passion fruits was 4 : 11. After
45 of the pomegranates and 78 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 |
Total |
| Before |
4 u |
11 u |
15 u |
| Change |
- 3.2 u |
- 78 |
|
| After |
0.8 u |
3.2 u |
|
Number of pomegranates sold
=
45 x 4 u
= 3.2 u
Number of pomegranates left
= 4 u - 3.2 u
= 0.8 u
Number of passion fruits left
= 4 x 0.8 u
= 3.2 u
Number of passion fruits sold
= 11 u - 3.2 u
= 7.8 u
7.8 u = 78
1 u = 78 ÷ 7.8 = 10
Number of pomegranates and passion fruits at first
= 4 u + 11 u
= 15 u
= 15 x 10
= 150
Answer(s): 150
