Sam had kiwis and passion fruits. The ratio of kiwis to passion fruits was 8 : 3. After
12 of the kiwis and 4 passion fruits were sold, there were 4 times as many kiwis as passion fruits left. How many kiwis and passion fruits were there at first?
|
Kiwis |
Passion Fruits |
Comparing kiwis and passion fruits at first |
8x1 = 8 u |
3x1 = 3 u |
Before |
2x4 = 8 u |
|
Change |
- 1x4 = - 4 u |
- 4 |
After |
1x4 = 4 u |
|
Comparing kiwis and passion fruits in the end |
4 u |
1 u |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 8 and 2 is 8.
Number of passion fruits sold
= 3 u - 1 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Number of kiwis and passion fruits at first
= 8 u + 3 u
= 11 u
= 11 x 2
= 22
Answer(s): 22