Fred had passion fruits and mangosteens. The ratio of passion fruits to mangosteens was 5 : 4. After
12 of the passion fruits and 42 mangosteens were sold, there were 5 times as many passion fruits as mangosteens left. How many passion fruits and mangosteens were there at first?
| |
Passion Fruits |
Mangosteens |
Comparing passion fruits
and mangosteens at first |
5x2 =
10 u |
4x2 =
8 u |
| Before |
2x5 =
10 u |
|
| Change |
- 1x5 =
- 5 u |
- 42 |
| After |
1x5 =
5 u |
|
Comparing passion fruits
and mangosteens in the end |
5 u |
1 u |
The number of passion fruits at first is repeated. Make the number of passion fruits at first the same. LCM of 5 and 2 is 10.
Number of mangosteens sold
= 8 u - 1 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of passion fruits and mangosteens at first
= 10 u + 8 u
= 18 u
= 18 x 6
= 108
Answer(s): 108
