Glen had mangoes and passion fruits. The ratio of mangoes to passion fruits was 9 : 7. After
12 of the mangoes and 78 passion fruits were sold, there were 9 times as many mangoes as passion fruits left. How many mangoes and passion fruits were sold?
| |
Mangoes |
Passion Fruits |
Comparing mangoes
and passion fruits at first |
9x2 =
18 u |
7x2 =
14 u |
| Before |
2x9 =
18 u |
|
| Change |
- 1x9 =
- 9 u |
- 78 |
| After |
1x9 =
9 u |
|
Comparing mangoes
and passion fruits in the end |
9 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 9 and 2 is 18.
Number of passion fruits sold
= 14 u - 1 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of mangoes and passion fruits sold
= 9 u + 78
= 9 x 6 + 78
= 54 + 78
= 132
Answer(s): 132
