The ratio of persimmons to starfruits is 3 : 7. If 72 starfruits are added, the ratio of persimmons to starfruits will be 1 : 5. How many starfruits are there?
| |
Persimmons |
Starfruits |
| Before |
3x1 =
3 u |
7x1 =
7 u |
| Change |
|
+ 72 |
| After |
1x3 =
3 u |
5x3 =
15 u |
The number of persimmons at first and in the end remains unchanged. Make the number of persimmons at first and in the end the same. LCM of 3 and 1 is 3.
Number of starfruits added
= 15 u - 7 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Number of starfruits
= 7 u
= 7 x 9
= 63
Answer(s): 63
