The ratio of guavas to persimmons is 3 : 5. If 209 persimmons are added, the ratio of guavas to persimmons will be 1 : 8. How many guavas are there?
|
Guavas |
Persimmons |
Before |
3x1 = 3 u |
5x1 = 5 u |
Change |
|
+ 209 |
After |
1x3 = 3 u |
8x3 = 24 u |
The number of guavas at first and in the end remains unchanged. Make the number of guavas at first and in the end the same. LCM of 3 and 1 is 3.
Number of persimmons added
= 24 u - 5 u
= 19 u
19 u = 209
1 u = 209 ÷ 19 = 11
Number of guavas
= 3 u
= 3 x 11
= 33
Answer(s): 33