Wesley bought some dragonfruits and mangoes in the ratio of 1 : 4 . After buying another 80 fruits each, the ratio becomes 5 : 12. Find the number of dragonfruits and mangoes he has now.
| |
Dragonfruits |
Mangoes |
Difference |
| Before |
1x7 =
7 u |
4x7 =
28 u |
3x7 =
21 u |
| Change |
+ 80 |
+ 80 |
|
| After |
5x3 =
15 u |
12x3 =
36 u |
7x3 =
21 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of dragonfruits and mangoes at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and mangoes the same. LCM of 3 and 7 is 21.
Increase in the number of dragonfruits
= 15 u - 7 u
= 8 u
8 u = 80
1 u = 80 ÷ 8 = 10
Number of mangoes and dragonfruits that $(Fred) has now
= 15 u + 36 u
= 51 u
= 51 x 10
= 510
Answer(s): 510
