Jack had pomegranates and passion fruits. The ratio of pomegranates to passion fruits was 7 : 2. After
12 of the pomegranates and 30 passion fruits were sold, there were 7 times as many pomegranates as passion fruits left. How many pomegranates and passion fruits were sold?
| |
Pomegranates |
Passion Fruits |
Comparing pomegranates
and passion fruits at first |
7x2 =
14 u |
2x2 =
4 u |
| Before |
2x7 =
14 u |
|
| Change |
- 1x7 =
- 7 u |
- 30 |
| After |
1x7 =
7 u |
|
Comparing pomegranates
and passion fruits in the end |
7 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 7 and 2 is 14.
Number of passion fruits sold
= 4 u - 1 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of pomegranates and passion fruits sold
= 7 u + 30
= 7 x 10 + 30
= 70 + 30
= 100
Answer(s): 100
