A fruit seller had pears and passion fruits. The ratio of pears to passion fruits was 3 : 11. After
12 of the pears and 32 passion fruits were sold, there were 2 times as many pears as passion fruits left. How many pears and passion fruits were there at first?
| |
Pears |
Passion Fruits |
Total |
| Before |
3 u |
11 u |
14 u |
| Change |
- 1.5 u |
- 32 |
|
| After |
1.5 u |
3 u |
|
Number of pears sold
=
12 x 3 u
= 1.5 u
Number of pears left
= 3 u - 1.5 u
= 1.5 u
Number of passion fruits left
= 2 x 1.5 u
= 3 u
Number of passion fruits sold
= 11 u - 3 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Number of pears and passion fruits at first
= 3 u + 11 u
= 14 u
= 14 x 4
= 56
Answer(s): 56
