Eric had passion fruits and mangosteens. The ratio of passion fruits to mangosteens was 8 : 3. After
45 of the passion fruits and 56 mangosteens were sold, there were 8 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 |
8x5 =
40 u |
3x5 =
15 u |
| Before |
5x8 =
40 u |
|
| Change |
- 4x8 =
- 32 u |
- 56 |
| After |
1x8 =
8 u |
|
Comparing passion fruits
and mangosteens in the end |
8 u |
1 u |
The number of passion fruits at first is repeated. Make the number of passion fruits at first the same. LCM of 8 and 5 is 40.
Number of mangosteens sold
= 15 u - 1 u
= 14 u
14 u = 56
1 u = 56 ÷ 14 = 4
Number of passion fruits and mangosteens sold
= 32 u + 56
= 32 x 4 + 56
= 128 + 56
= 184
Answer(s): 184
