Fred had mangosteens and passion fruits. The ratio of mangosteens to passion fruits was 6 : 5. After
14 of the mangosteens and 45 passion fruits were sold, there were 9 times as many mangosteens as passion fruits left. How many mangosteens and passion fruits were there at first?
| |
Mangosteens |
Passion Fruits |
Comparing mangosteens
and passion fruits at first |
6x2 =
12 u |
5x2 =
10 u |
| Before |
4x3 =
12 u |
|
| Change |
- 1x3 =
- 3 u |
- 45 |
| After |
3x3 =
9 u |
|
Comparing mangosteens
and passion fruits in the end |
9 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 6 and 4 is 12.
Number of passion fruits sold
= 10 u - 1 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of mangosteens and passion fruits at first
= 12 u + 10 u
= 22 u
= 22 x 5
= 110
Answer(s): 110
