The ratio of peaches to passion fruits is 3 : 4. If 24 passion fruits are added, the ratio of peaches to passion fruits will be 1 : 4. How many peaches are there?
|
Peaches |
Passion Fruits |
Before |
3x1 = 3 u |
4x1 = 4 u |
Change |
|
+ 24 |
After |
1x3 = 3 u |
4x3 = 12 u |
The number of peaches at first and in the end remains unchanged. Make the number of peaches at first and in the end the same. LCM of 3 and 1 is 3.
Number of passion fruits added
= 12 u - 4 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Number of peaches
= 3 u
= 3 x 3
= 9
Answer(s): 9