Lee bought some passion fruits and pomegranates in the ratio of 1 : 5 . After buying another 130 fruits each, the ratio becomes 7 : 9. Find the number of passion fruits and pomegranates he has now.
|
Passion Fruits |
Pomegranates |
Difference |
Before |
1x1 = 1 u |
5x1 = 5 u |
4x1 = 4 u |
Change |
+ 130 |
+ 130 |
|
After |
7x2 = 14 u |
9x2 = 18 u |
2x2 = 4 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of passion fruits and pomegranates at first and in the end remains unchanged.
Make the difference in the number of passion fruits and pomegranates the same. LCM of 4 and 2 is 4.
Increase in the number of passion fruits
= 14 u - 1 u
= 13 u
13 u = 130
1 u = 130 ÷ 13 = 10
Number of pomegranates and passion fruits that $(Fred) has now
= 14 u + 18 u
= 32 u
= 32 x 10
= 320
Answer(s): 320