Daniel had passion fruits and mangosteens. The ratio of passion fruits to mangosteens was 7 : 5. After
45 of the passion fruits and 48 mangosteens were sold, there were 7 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 |
7x5 =
35 u |
5x5 =
25 u |
| Before |
5x7 =
35 u |
|
| Change |
- 4x7 =
- 28 u |
- 48 |
| After |
1x7 =
7 u |
|
Comparing passion fruits
and mangosteens in the end |
7 u |
1 u |
The number of passion fruits at first is repeated. Make the number of passion fruits at first the same. LCM of 7 and 5 is 35.
Number of mangosteens sold
= 25 u - 1 u
= 24 u
24 u = 48
1 u = 48 ÷ 24 = 2
Number of passion fruits and mangosteens at first
= 35 u + 25 u
= 60 u
= 60 x 2
= 120
Answer(s): 120
