The ratio of mangosteens to starfruits is 2 : 5. If 204 starfruits are added, the ratio of mangosteens to starfruits will be 1 : 11. How many mangosteens are there?
|
Mangosteens |
Starfruits |
Before |
2x1 = 2 u |
5x1 = 5 u |
Change |
|
+ 204 |
After |
1x2 = 2 u |
11x2 = 22 u |
The number of mangosteens at first and in the end remains unchanged. Make the number of mangosteens at first and in the end the same. LCM of 2 and 1 is 2.
Number of starfruits added
= 22 u - 5 u
= 17 u
17 u = 204
1 u = 204 ÷ 17 = 12
Number of mangosteens
= 2 u
= 2 x 12
= 24
Answer(s): 24