Ethan bought some passion fruits and guavas in the ratio of 1 : 4 . After buying another 161 fruits each, the ratio becomes 8 : 9. Find the number of passion fruits and guavas he has now.
| |
Passion Fruits |
Guavas |
Difference |
| Before |
1x1 =
1 u |
4x1 =
4 u |
3x1 =
3 u |
| Change |
+ 161 |
+ 161 |
|
| After |
8x3 =
24 u |
9x3 =
27 u |
1x3 =
3 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 guavas at first and in the end remains unchanged.
Make the difference in the number of passion fruits and guavas the same. LCM of 3 and 1 is 3.
Increase in the number of passion fruits
= 24 u - 1 u
= 23 u
23 u = 161
1 u = 161 ÷ 23 = 7
Number of guavas and passion fruits that $(Fred) has now
= 24 u + 27 u
= 51 u
= 51 x 7
= 357
Answer(s): 357
