A fruit seller had mangosteens and passion fruits. The ratio of mangosteens to passion fruits was 3 : 10. After
12 of the mangosteens and 42 passion fruits were sold, there were 2 times as many mangosteens as passion fruits left. How many mangosteens and passion fruits were there at first?
| |
Mangosteens |
Passion Fruits |
Total |
| Before |
3 u |
10 u |
13 u |
| Change |
- 1.5 u |
- 42 |
|
| After |
1.5 u |
3 u |
|
Number of mangosteens sold
=
12 x 3 u
= 1.5 u
Number of mangosteens 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
= 10 u - 3 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of mangosteens and passion fruits at first
= 3 u + 10 u
= 13 u
= 13 x 6
= 78
Answer(s): 78
