Eric had mangoes and passion fruits. The ratio of mangoes to passion fruits was 8 : 3. After
12 of the mangoes and 12 passion fruits were sold, there were 4 times as many mangoes as passion fruits left. How many mangoes and passion fruits were there at first?
| |
Mangoes |
Passion Fruits |
Comparing mangoes
and passion fruits at first |
8x1 =
8 u |
3x1 =
3 u |
| Before |
2x4 =
8 u |
|
| Change |
- 1x4 =
- 4 u |
- 12 |
| After |
1x4 =
4 u |
|
Comparing mangoes
and passion fruits in the end |
4 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 8 and 2 is 8.
Number of passion fruits sold
= 3 u - 1 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of mangoes and passion fruits at first
= 8 u + 3 u
= 11 u
= 11 x 6
= 66
Answer(s): 66
