A fruit seller had passion fruits and pears. The ratio of passion fruits to pears was 2 : 11. After
14 of the passion fruits and 13 pears were sold, there were 3 times as many passion fruits as pears left. How many passion fruits and pears were there at first?
| |
Passion Fruits |
Pears |
Total |
| Before |
2 u |
11 u |
13 u |
| Change |
- 0.5 u |
- 13 |
|
| After |
1.5 u |
4.5 u |
|
Number of passion fruits sold
=
14 x 2 u
= 0.5 u
Number of passion fruits left
= 2 u - 0.5 u
= 1.5 u
Number of pears left
= 3 x 1.5 u
= 4.5 u
Number of pears sold
= 11 u - 4.5 u
= 6.5 u
6.5 u = 13
1 u = 13 ÷ 6.5 = 2
Number of passion fruits and pears at first
= 2 u + 11 u
= 13 u
= 13 x 2
= 26
Answer(s): 26
