Gabriel had passion fruits and mangosteens. The ratio of passion fruits to mangosteens was 7 : 6. After
34 of the passion fruits and 184 mangosteens were sold, there were 7 times as many passion fruits as mangosteens left. How many passion fruits and mangosteens were sold?
| |
Passion Fruits |
Mangosteens |
Comparing passion fruits
and mangosteens at first |
7x4 =
28 u |
6x4 =
24 u |
| Before |
4x7 =
28 u |
|
| Change |
- 3x7 =
- 21 u |
- 184 |
| 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 4 is 28.
Number of mangosteens sold
= 24 u - 1 u
= 23 u
23 u = 184
1 u = 184 ÷ 23 = 8
Number of passion fruits and mangosteens sold
= 21 u + 184
= 21 x 8 + 184
= 168 + 184
= 352
Answer(s): 352
