Luke bought some pears and passion fruits in the ratio of 1 : 5 . After buying another 28 fruits each, the ratio becomes 5 : 11. Find the number of pears and passion fruits he has now.
| |
Pears |
Passion Fruits |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 28 |
+ 28 |
|
| After |
5x2 =
10 u |
11x2 =
22 u |
6x2 =
12 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of pears and passion fruits at first and in the end remains unchanged.
Make the difference in the number of pears and passion fruits the same. LCM of 4 and 6 is 12.
Increase in the number of pears
= 10 u - 3 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Number of passion fruits and pears that $(Fred) has now
= 10 u + 22 u
= 32 u
= 32 x 4
= 128
Answer(s): 128
