The ratio of mangosteens to starfruits is 2 : 7. If 77 starfruits are added, the ratio of mangosteens to starfruits will be 1 : 7. How many mangosteens are there?
|
Mangosteens |
Starfruits |
Before |
2x1 = 2 u |
7x1 = 7 u |
Change |
|
+ 77 |
After |
1x2 = 2 u |
7x2 = 14 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
= 14 u - 7 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of mangosteens
= 2 u
= 2 x 11
= 22
Answer(s): 22