The ratio of pears to starfruits is 5 : 7. If 16 starfruits are added, the ratio of pears to starfruits will be 1 : 3. How many starfruits are there?
|
Pears |
Starfruits |
Before |
5x1 = 5 u |
7x1 = 7 u |
Change |
|
+ 16 |
After |
1x5 = 5 u |
3x5 = 15 u |
The number of pears at first and in the end remains unchanged. Make the number of pears at first and in the end the same. LCM of 5 and 1 is 5.
Number of starfruits added
= 15 u - 7 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Number of starfruits
= 7 u
= 7 x 2
= 14
Answer(s): 14