The ratio of kiwis to pomegranates is 3 : 4. If 48 pomegranates are added, the ratio of kiwis to pomegranates will be 1 : 4. How many pomegranates are there?
|
Kiwis |
Pomegranates |
Before |
3x1 = 3 u |
4x1 = 4 u |
Change |
|
+ 48 |
After |
1x3 = 3 u |
4x3 = 12 u |
The number of kiwis at first and in the end remains unchanged. Make the number of kiwis at first and in the end the same. LCM of 3 and 1 is 3.
Number of pomegranates added
= 12 u - 4 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Number of pomegranates
= 4 u
= 4 x 6
= 24
Answer(s): 24