The ratio of pears to persimmons is 3 : 7. If 260 persimmons are added, the ratio of pears to persimmons will be 1 : 11. How many pears are there?
|
Pears |
Persimmons |
Before |
3x1 = 3 u |
7x1 = 7 u |
Change |
|
+ 260 |
After |
1x3 = 3 u |
11x3 = 33 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 3 and 1 is 3.
Number of persimmons added
= 33 u - 7 u
= 26 u
26 u = 260
1 u = 260 ÷ 26 = 10
Number of pears
= 3 u
= 3 x 10
= 30
Answer(s): 30