The ratio of mangoes to dragonfruits is 3 : 7. If 171 dragonfruits are added, the ratio of mangoes to dragonfruits will be 2 : 11. How many mangoes are there?
|
Mangoes |
Dragonfruits |
Before |
3x2 = 6 u |
7x2 = 14 u |
Change |
|
+ 171 |
After |
2x3 = 6 u |
11x3 = 33 u |
The number of mangoes at first and in the end remains unchanged. Make the number of mangoes at first and in the end the same. LCM of 3 and 2 is 6.
Number of dragonfruits added
= 33 u - 14 u
= 19 u
19 u = 171
1 u = 171 ÷ 19 = 9
Number of mangoes
= 6 u
= 6 x 9
= 54
Answer(s): 54